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Finding the Fourth Proportional to 649,901.40, 974,852.10 and 460,944.60

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Solution

The fourth proportional to 649,901.40, 974,852.10 and 460,944.60 is: 691,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,901.40 : 974,852.10 = 460,944.60 : x
  2. Step 2: Convert to fraction form
    649,901.40/974,852.10 = 460,944.60/x
  3. Step 3: Cross multiply
    649,901.40x = 974,852.10 × 460,944.60
  4. Step 4: Simplify right side
    649,901.40x = 449,352,811,293.66
  5. Step 5: Solve for x
    x = 449,352,811,293.66/649,901.40
  6. Step 6: Final answer
    x = 691,416.90

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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.