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Finding the Fourth Proportional to 598,876.80, 898,444.80 and 178,195.20

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Solution

The fourth proportional to 598,876.80, 898,444.80 and 178,195.20 is: 267,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,876.80 : 898,444.80 = 178,195.20 : x
  2. Step 2: Convert to fraction form
    598,876.80/898,444.80 = 178,195.20/x
  3. Step 3: Cross multiply
    598,876.80x = 898,444.80 × 178,195.20
  4. Step 4: Simplify right side
    598,876.80x = 160,098,550,824.96
  5. Step 5: Solve for x
    x = 160,098,550,824.96/598,876.80
  6. Step 6: Final answer
    x = 267,331.36

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Why These Related Problems?

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