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Finding the Fourth Proportional to 648,014.80, 972,022.20 and 411,624.40

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Solution

The fourth proportional to 648,014.80, 972,022.20 and 411,624.40 is: 617,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,014.80 : 972,022.20 = 411,624.40 : x
  2. Step 2: Convert to fraction form
    648,014.80/972,022.20 = 411,624.40/x
  3. Step 3: Cross multiply
    648,014.80x = 972,022.20 × 411,624.40
  4. Step 4: Simplify right side
    648,014.80x = 400,108,054,861.68
  5. Step 5: Solve for x
    x = 400,108,054,861.68/648,014.80
  6. Step 6: Final answer
    x = 617,436.60

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.