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Finding the Fourth Proportional to 509,067.64, 763,767.56 and 242,793.56

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Solution

The fourth proportional to 509,067.64, 763,767.56 and 242,793.56 is: 364,269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,067.64 : 763,767.56 = 242,793.56 : x
  2. Step 2: Convert to fraction form
    509,067.64/763,767.56 = 242,793.56/x
  3. Step 3: Cross multiply
    509,067.64x = 763,767.56 × 242,793.56
  4. Step 4: Simplify right side
    509,067.64x = 185,437,844,557.19
  5. Step 5: Solve for x
    x = 185,437,844,557.19/509,067.64
  6. Step 6: Final answer
    x = 364,269.56

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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.