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Finding the Fourth Proportional to 317,410.38, 438,011.28 and 174,167.28

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Solution

The fourth proportional to 317,410.38, 438,011.28 and 174,167.28 is: 240,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,410.38 : 438,011.28 = 174,167.28 : x
  2. Step 2: Convert to fraction form
    317,410.38/438,011.28 = 174,167.28/x
  3. Step 3: Cross multiply
    317,410.38x = 438,011.28 × 174,167.28
  4. Step 4: Simplify right side
    317,410.38x = 76,287,233,246.92
  5. Step 5: Solve for x
    x = 76,287,233,246.92/317,410.38
  6. Step 6: Final answer
    x = 240,342.59

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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.