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Finding the Fourth Proportional to 357,314.98, 493,098.21 and 193,972.75

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Solution

The fourth proportional to 357,314.98, 493,098.21 and 193,972.75 is: 267,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,314.98 : 493,098.21 = 193,972.75 : x
  2. Step 2: Convert to fraction form
    357,314.98/493,098.21 = 193,972.75/x
  3. Step 3: Cross multiply
    357,314.98x = 493,098.21 × 193,972.75
  4. Step 4: Simplify right side
    357,314.98x = 95,647,615,813.78
  5. Step 5: Solve for x
    x = 95,647,615,813.78/357,314.98
  6. Step 6: Final answer
    x = 267,684.32

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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.