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Finding the Fourth Proportional to 288,858.38, 398,617.10 and 159,793.50

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Solution

The fourth proportional to 288,858.38, 398,617.10 and 159,793.50 is: 220,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,858.38 : 398,617.10 = 159,793.50 : x
  2. Step 2: Convert to fraction form
    288,858.38/398,617.10 = 159,793.50/x
  3. Step 3: Cross multiply
    288,858.38x = 398,617.10 × 159,793.50
  4. Step 4: Simplify right side
    288,858.38x = 63,696,421,568.85
  5. Step 5: Solve for x
    x = 63,696,421,568.85/288,858.38
  6. Step 6: Final answer
    x = 220,510.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.