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Finding the Fourth Proportional to 514,270.68, 709,609.17 and 323,148.75

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Solution

The fourth proportional to 514,270.68, 709,609.17 and 323,148.75 is: 445,892.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,270.68 : 709,609.17 = 323,148.75 : x
  2. Step 2: Convert to fraction form
    514,270.68/709,609.17 = 323,148.75/x
  3. Step 3: Cross multiply
    514,270.68x = 709,609.17 × 323,148.75
  4. Step 4: Simplify right side
    514,270.68x = 229,309,316,274.04
  5. Step 5: Solve for x
    x = 229,309,316,274.04/514,270.68
  6. Step 6: Final answer
    x = 445,892.26

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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.