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Finding the Fourth Proportional to 598,664.80, 898,126.80 and 177,983.20

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Solution

The fourth proportional to 598,664.80, 898,126.80 and 177,983.20 is: 267,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,664.80 : 898,126.80 = 177,983.20 : x
  2. Step 2: Convert to fraction form
    598,664.80/898,126.80 = 177,983.20/x
  3. Step 3: Cross multiply
    598,664.80x = 898,126.80 × 177,983.20
  4. Step 4: Simplify right side
    598,664.80x = 159,851,481,869.76
  5. Step 5: Solve for x
    x = 159,851,481,869.76/598,664.80
  6. Step 6: Final answer
    x = 267,013.33

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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.