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Finding the Fourth Proportional to 498,521.80, 747,782.70 and 287,913.70

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Solution

The fourth proportional to 498,521.80, 747,782.70 and 287,913.70 is: 431,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,521.80 : 747,782.70 = 287,913.70 : x
  2. Step 2: Convert to fraction form
    498,521.80/747,782.70 = 287,913.70/x
  3. Step 3: Cross multiply
    498,521.80x = 747,782.70 × 287,913.70
  4. Step 4: Simplify right side
    498,521.80x = 215,296,883,952.99
  5. Step 5: Solve for x
    x = 215,296,883,952.99/498,521.80
  6. Step 6: Final answer
    x = 431,870.55

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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.