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Finding the Fourth Proportional to 331,246.80, 496,870.20 and 278,758.80

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Solution

The fourth proportional to 331,246.80, 496,870.20 and 278,758.80 is: 418,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,246.80 : 496,870.20 = 278,758.80 : x
  2. Step 2: Convert to fraction form
    331,246.80/496,870.20 = 278,758.80/x
  3. Step 3: Cross multiply
    331,246.80x = 496,870.20 × 278,758.80
  4. Step 4: Simplify right side
    331,246.80x = 138,506,940,707.76
  5. Step 5: Solve for x
    x = 138,506,940,707.76/331,246.80
  6. Step 6: Final answer
    x = 418,138.20

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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.