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Finding the Fourth Proportional to 317,407.38, 438,016.20 and 174,166.17

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Solution

The fourth proportional to 317,407.38, 438,016.20 and 174,166.17 is: 240,346.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,407.38 : 438,016.20 = 174,166.17 : x
  2. Step 2: Convert to fraction form
    317,407.38/438,016.20 = 174,166.17/x
  3. Step 3: Cross multiply
    317,407.38x = 438,016.20 × 174,166.17
  4. Step 4: Simplify right side
    317,407.38x = 76,287,603,951.95
  5. Step 5: Solve for x
    x = 76,287,603,951.95/317,407.38
  6. Step 6: Final answer
    x = 240,346.03

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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.