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Finding the Fourth Proportional to 498,511.80, 747,767.70 and 287,903.70

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Solution

The fourth proportional to 498,511.80, 747,767.70 and 287,903.70 is: 431,855.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,511.80 : 747,767.70 = 287,903.70 : x
  2. Step 2: Convert to fraction form
    498,511.80/747,767.70 = 287,903.70/x
  3. Step 3: Cross multiply
    498,511.80x = 747,767.70 × 287,903.70
  4. Step 4: Simplify right side
    498,511.80x = 215,285,087,570.49
  5. Step 5: Solve for x
    x = 215,285,087,570.49/498,511.80
  6. Step 6: Final answer
    x = 431,855.55

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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.