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Finding the Fourth Proportional to 648,002.30, 972,003.45 and 411,611.90

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Solution

The fourth proportional to 648,002.30, 972,003.45 and 411,611.90 is: 617,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,002.30 : 972,003.45 = 411,611.90 : x
  2. Step 2: Convert to fraction form
    648,002.30/972,003.45 = 411,611.90/x
  3. Step 3: Cross multiply
    648,002.30x = 972,003.45 × 411,611.90
  4. Step 4: Simplify right side
    648,002.30x = 400,088,186,861.06
  5. Step 5: Solve for x
    x = 400,088,186,861.06/648,002.30
  6. Step 6: Final answer
    x = 617,417.85

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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.