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Finding the Fourth Proportional to 675,689.64, 932,046.48 and 446,247.36

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Solution

The fourth proportional to 675,689.64, 932,046.48 and 446,247.36 is: 615,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,689.64 : 932,046.48 = 446,247.36 : x
  2. Step 2: Convert to fraction form
    675,689.64/932,046.48 = 446,247.36/x
  3. Step 3: Cross multiply
    675,689.64x = 932,046.48 × 446,247.36
  4. Step 4: Simplify right side
    675,689.64x = 415,923,281,097.29
  5. Step 5: Solve for x
    x = 415,923,281,097.29/675,689.64
  6. Step 6: Final answer
    x = 615,553.73

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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.