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Finding the Fourth Proportional to 598,657.80, 898,116.30 and 177,976.20

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Solution

The fourth proportional to 598,657.80, 898,116.30 and 177,976.20 is: 267,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,657.80 : 898,116.30 = 177,976.20 : x
  2. Step 2: Convert to fraction form
    598,657.80/898,116.30 = 177,976.20/x
  3. Step 3: Cross multiply
    598,657.80x = 898,116.30 × 177,976.20
  4. Step 4: Simplify right side
    598,657.80x = 159,843,326,232.06
  5. Step 5: Solve for x
    x = 159,843,326,232.06/598,657.80
  6. Step 6: Final answer
    x = 267,002.83

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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.