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Finding the Fourth Proportional to 476,711.92, 715,067.76 and 121,713.20

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Solution

The fourth proportional to 476,711.92, 715,067.76 and 121,713.20 is: 182,569.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,711.92 : 715,067.76 = 121,713.20 : x
  2. Step 2: Convert to fraction form
    476,711.92/715,067.76 = 121,713.20/x
  3. Step 3: Cross multiply
    476,711.92x = 715,067.76 × 121,713.20
  4. Step 4: Simplify right side
    476,711.92x = 87,033,185,286.43
  5. Step 5: Solve for x
    x = 87,033,185,286.43/476,711.92
  6. Step 6: Final answer
    x = 182,569.77

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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.