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Finding the Fourth Proportional to 576,105.60, 862,646.40 and 406,711.20

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Solution

The fourth proportional to 576,105.60, 862,646.40 and 406,711.20 is: 608,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,105.60 : 862,646.40 = 406,711.20 : x
  2. Step 2: Convert to fraction form
    576,105.60/862,646.40 = 406,711.20/x
  3. Step 3: Cross multiply
    576,105.60x = 862,646.40 × 406,711.20
  4. Step 4: Simplify right side
    576,105.60x = 350,847,952,519.68
  5. Step 5: Solve for x
    x = 350,847,952,519.68/576,105.60
  6. Step 6: Final answer
    x = 608,999.38

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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.