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Finding the Fourth Proportional to 598,897.80, 898,476.30 and 178,216.20

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Solution

The fourth proportional to 598,897.80, 898,476.30 and 178,216.20 is: 267,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,897.80 : 898,476.30 = 178,216.20 : x
  2. Step 2: Convert to fraction form
    598,897.80/898,476.30 = 178,216.20/x
  3. Step 3: Cross multiply
    598,897.80x = 898,476.30 × 178,216.20
  4. Step 4: Simplify right side
    598,897.80x = 160,123,031,976.06
  5. Step 5: Solve for x
    x = 160,123,031,976.06/598,897.80
  6. Step 6: Final answer
    x = 267,362.87

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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.