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Finding the Fourth Proportional to 598,833.60, 898,264.80 and 178,123.20

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Solution

The fourth proportional to 598,833.60, 898,264.80 and 178,123.20 is: 267,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,833.60 : 898,264.80 = 178,123.20 : x
  2. Step 2: Convert to fraction form
    598,833.60/898,264.80 = 178,123.20/x
  3. Step 3: Cross multiply
    598,833.60x = 898,264.80 × 178,123.20
  4. Step 4: Simplify right side
    598,833.60x = 160,001,800,623.36
  5. Step 5: Solve for x
    x = 160,001,800,623.36/598,833.60
  6. Step 6: Final answer
    x = 267,189.08

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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.