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Finding the Fourth Proportional to 645,727.80, 968,591.70 and 409,337.40

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Solution

The fourth proportional to 645,727.80, 968,591.70 and 409,337.40 is: 614,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,727.80 : 968,591.70 = 409,337.40 : x
  2. Step 2: Convert to fraction form
    645,727.80/968,591.70 = 409,337.40/x
  3. Step 3: Cross multiply
    645,727.80x = 968,591.70 × 409,337.40
  4. Step 4: Simplify right side
    645,727.80x = 396,480,808,139.58
  5. Step 5: Solve for x
    x = 396,480,808,139.58/645,727.80
  6. Step 6: Final answer
    x = 614,006.10

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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.