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Finding the Fourth Proportional to 498,779.28, 688,295.52 and 280,982.88

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Solution

The fourth proportional to 498,779.28, 688,295.52 and 280,982.88 is: 387,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,779.28 : 688,295.52 = 280,982.88 : x
  2. Step 2: Convert to fraction form
    498,779.28/688,295.52 = 280,982.88/x
  3. Step 3: Cross multiply
    498,779.28x = 688,295.52 × 280,982.88
  4. Step 4: Simplify right side
    498,779.28x = 193,399,257,500.70
  5. Step 5: Solve for x
    x = 193,399,257,500.70/498,779.28
  6. Step 6: Final answer
    x = 387,745.17

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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.