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Finding the Fourth Proportional to 493,706.52, 681,311.10 and 267,352.02

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Solution

The fourth proportional to 493,706.52, 681,311.10 and 267,352.02 is: 368,943.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,706.52 : 681,311.10 = 267,352.02 : x
  2. Step 2: Convert to fraction form
    493,706.52/681,311.10 = 267,352.02/x
  3. Step 3: Cross multiply
    493,706.52x = 681,311.10 × 267,352.02
  4. Step 4: Simplify right side
    493,706.52x = 182,149,898,833.42
  5. Step 5: Solve for x
    x = 182,149,898,833.42/493,706.52
  6. Step 6: Final answer
    x = 368,943.68

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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.