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Finding the Fourth Proportional to 317,438.09, 438,069.92 and 174,211.46

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Solution

The fourth proportional to 317,438.09, 438,069.92 and 174,211.46 is: 240,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,438.09 : 438,069.92 = 174,211.46 : x
  2. Step 2: Convert to fraction form
    317,438.09/438,069.92 = 174,211.46/x
  3. Step 3: Cross multiply
    317,438.09x = 438,069.92 × 174,211.46
  4. Step 4: Simplify right side
    317,438.09x = 76,316,799,906.58
  5. Step 5: Solve for x
    x = 76,316,799,906.58/317,438.09
  6. Step 6: Final answer
    x = 240,414.75

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