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Finding the Fourth Proportional to 675,691.64, 932,049.24 and 446,249.36

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Solution

The fourth proportional to 675,691.64, 932,049.24 and 446,249.36 is: 615,556.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,691.64 : 932,049.24 = 446,249.36 : x
  2. Step 2: Convert to fraction form
    675,691.64/932,049.24 = 446,249.36/x
  3. Step 3: Cross multiply
    675,691.64x = 932,049.24 × 446,249.36
  4. Step 4: Simplify right side
    675,691.64x = 415,926,376,838.49
  5. Step 5: Solve for x
    x = 415,926,376,838.49/675,691.64
  6. Step 6: Final answer
    x = 615,556.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.