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Finding the Fourth Proportional to 317,414.38, 438,016.80 and 174,171.28

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Solution

The fourth proportional to 317,414.38, 438,016.80 and 174,171.28 is: 240,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,414.38 : 438,016.80 = 174,171.28 : x
  2. Step 2: Convert to fraction form
    317,414.38/438,016.80 = 174,171.28/x
  3. Step 3: Cross multiply
    317,414.38x = 438,016.80 × 174,171.28
  4. Step 4: Simplify right side
    317,414.38x = 76,289,946,717.50
  5. Step 5: Solve for x
    x = 76,289,946,717.50/317,414.38
  6. Step 6: Final answer
    x = 240,348.11

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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.