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Finding the Fourth Proportional to 516,419.47, 712,613.50 and 286,962.22

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Solution

The fourth proportional to 516,419.47, 712,613.50 and 286,962.22 is: 395,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,419.47 : 712,613.50 = 286,962.22 : x
  2. Step 2: Convert to fraction form
    516,419.47/712,613.50 = 286,962.22/x
  3. Step 3: Cross multiply
    516,419.47x = 712,613.50 × 286,962.22
  4. Step 4: Simplify right side
    516,419.47x = 204,493,148,398.90
  5. Step 5: Solve for x
    x = 204,493,148,398.90/516,419.47
  6. Step 6: Final answer
    x = 395,982.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.