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Finding the Fourth Proportional to 317,429.38, 438,059.24 and 174,188.17

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Solution

The fourth proportional to 317,429.38, 438,059.24 and 174,188.17 is: 240,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,429.38 : 438,059.24 = 174,188.17 : x
  2. Step 2: Convert to fraction form
    317,429.38/438,059.24 = 174,188.17/x
  3. Step 3: Cross multiply
    317,429.38x = 438,059.24 × 174,188.17
  4. Step 4: Simplify right side
    317,429.38x = 76,304,736,496.25
  5. Step 5: Solve for x
    x = 76,304,736,496.25/317,429.38
  6. Step 6: Final answer
    x = 240,383.35

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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.