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Finding the Fourth Proportional to 493,657, 681,251.52 and 267,307.36

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Solution

The fourth proportional to 493,657, 681,251.52 and 267,307.36 is: 368,886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,657 : 681,251.52 = 267,307.36 : x
  2. Step 2: Convert to fraction form
    493,657/681,251.52 = 267,307.36/x
  3. Step 3: Cross multiply
    493,657x = 681,251.52 × 267,307.36
  4. Step 4: Simplify right side
    493,657x = 182,103,545,307.19
  5. Step 5: Solve for x
    x = 182,103,545,307.19/493,657
  6. Step 6: Final answer
    x = 368,886.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.