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Finding the Fourth Proportional to 465,438.96, 698,144.50 and 128,500.18

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Solution

The fourth proportional to 465,438.96, 698,144.50 and 128,500.18 is: 192,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,438.96 : 698,144.50 = 128,500.18 : x
  2. Step 2: Convert to fraction form
    465,438.96/698,144.50 = 128,500.18/x
  3. Step 3: Cross multiply
    465,438.96x = 698,144.50 × 128,500.18
  4. Step 4: Simplify right side
    465,438.96x = 89,711,693,916.01
  5. Step 5: Solve for x
    x = 89,711,693,916.01/465,438.96
  6. Step 6: Final answer
    x = 192,746.42

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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.