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Finding the Fourth Proportional to 498,295.80, 747,443.70 and 182,711.70

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Solution

The fourth proportional to 498,295.80, 747,443.70 and 182,711.70 is: 274,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,295.80 : 747,443.70 = 182,711.70 : x
  2. Step 2: Convert to fraction form
    498,295.80/747,443.70 = 182,711.70/x
  3. Step 3: Cross multiply
    498,295.80x = 747,443.70 × 182,711.70
  4. Step 4: Simplify right side
    498,295.80x = 136,566,709,081.29
  5. Step 5: Solve for x
    x = 136,566,709,081.29/498,295.80
  6. Step 6: Final answer
    x = 274,067.55

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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.