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Finding the Fourth Proportional to 461,251.80, 692,169.30 and 271,711.80

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Solution

The fourth proportional to 461,251.80, 692,169.30 and 271,711.80 is: 407,739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,251.80 : 692,169.30 = 271,711.80 : x
  2. Step 2: Convert to fraction form
    461,251.80/692,169.30 = 271,711.80/x
  3. Step 3: Cross multiply
    461,251.80x = 692,169.30 × 271,711.80
  4. Step 4: Simplify right side
    461,251.80x = 188,070,566,407.74
  5. Step 5: Solve for x
    x = 188,070,566,407.74/461,251.80
  6. Step 6: Final answer
    x = 407,739.47

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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.