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Finding the Fourth Proportional to 317,441.46, 438,074.60 and 174,214.83

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Solution

The fourth proportional to 317,441.46, 438,074.60 and 174,214.83 is: 240,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,441.46 : 438,074.60 = 174,214.83 : x
  2. Step 2: Convert to fraction form
    317,441.46/438,074.60 = 174,214.83/x
  3. Step 3: Cross multiply
    317,441.46x = 438,074.60 × 174,214.83
  4. Step 4: Simplify right side
    317,441.46x = 76,319,092,738.02
  5. Step 5: Solve for x
    x = 76,319,092,738.02/317,441.46
  6. Step 6: Final answer
    x = 240,419.42

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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.