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Finding the Fourth Proportional to 461,656.80, 692,067.24 and 181,098.72

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Solution

The fourth proportional to 461,656.80, 692,067.24 and 181,098.72 is: 271,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,656.80 : 692,067.24 = 181,098.72 : x
  2. Step 2: Convert to fraction form
    461,656.80/692,067.24 = 181,098.72/x
  3. Step 3: Cross multiply
    461,656.80x = 692,067.24 × 181,098.72
  4. Step 4: Simplify right side
    461,656.80x = 125,332,491,317.93
  5. Step 5: Solve for x
    x = 125,332,491,317.93/461,656.80
  6. Step 6: Final answer
    x = 271,484.12

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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.