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Finding the Fourth Proportional to 468,892.56, 647,071.92 and 254,034.12

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Solution

The fourth proportional to 468,892.56, 647,071.92 and 254,034.12 is: 350,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,892.56 : 647,071.92 = 254,034.12 : x
  2. Step 2: Convert to fraction form
    468,892.56/647,071.92 = 254,034.12/x
  3. Step 3: Cross multiply
    468,892.56x = 647,071.92 × 254,034.12
  4. Step 4: Simplify right side
    468,892.56x = 164,378,345,773.91
  5. Step 5: Solve for x
    x = 164,378,345,773.91/468,892.56
  6. Step 6: Final answer
    x = 350,567.19

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Why These Related Problems?

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