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Finding the Fourth Proportional to 461,691.12, 692,847.72 and 181,175.28

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Solution

The fourth proportional to 461,691.12, 692,847.72 and 181,175.28 is: 271,884.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,691.12 : 692,847.72 = 181,175.28 : x
  2. Step 2: Convert to fraction form
    461,691.12/692,847.72 = 181,175.28/x
  3. Step 3: Cross multiply
    461,691.12x = 692,847.72 × 181,175.28
  4. Step 4: Simplify right side
    461,691.12x = 125,526,879,668.36
  5. Step 5: Solve for x
    x = 125,526,879,668.36/461,691.12
  6. Step 6: Final answer
    x = 271,884.98

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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.