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Finding the Fourth Proportional to 465,455.90, 698,169.84 and 128,517.14

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Solution

The fourth proportional to 465,455.90, 698,169.84 and 128,517.14 is: 192,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,455.90 : 698,169.84 = 128,517.14 : x
  2. Step 2: Convert to fraction form
    465,455.90/698,169.84 = 128,517.14/x
  3. Step 3: Cross multiply
    465,455.90x = 698,169.84 × 128,517.14
  4. Step 4: Simplify right side
    465,455.90x = 89,726,791,071.06
  5. Step 5: Solve for x
    x = 89,726,791,071.06/465,455.90
  6. Step 6: Final answer
    x = 192,771.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.