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Finding the Fourth Proportional to 242,590.20, 363,885.30 and 226,843.80

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Solution

The fourth proportional to 242,590.20, 363,885.30 and 226,843.80 is: 340,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,590.20 : 363,885.30 = 226,843.80 : x
  2. Step 2: Convert to fraction form
    242,590.20/363,885.30 = 226,843.80/x
  3. Step 3: Cross multiply
    242,590.20x = 363,885.30 × 226,843.80
  4. Step 4: Simplify right side
    242,590.20x = 82,545,124,216.14
  5. Step 5: Solve for x
    x = 82,545,124,216.14/242,590.20
  6. Step 6: Final answer
    x = 340,265.70

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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.