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Finding the Fourth Proportional to 493,818.50, 681,469.53 and 267,464

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Solution

The fourth proportional to 493,818.50, 681,469.53 and 267,464 is: 369,100.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,818.50 : 681,469.53 = 267,464 : x
  2. Step 2: Convert to fraction form
    493,818.50/681,469.53 = 267,464/x
  3. Step 3: Cross multiply
    493,818.50x = 681,469.53 × 267,464
  4. Step 4: Simplify right side
    493,818.50x = 182,268,566,371.92
  5. Step 5: Solve for x
    x = 182,268,566,371.92/493,818.50
  6. Step 6: Final answer
    x = 369,100.32

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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.