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Finding the Fourth Proportional to 493,534.86, 681,078.34 and 267,180.36

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Solution

The fourth proportional to 493,534.86, 681,078.34 and 267,180.36 is: 368,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,534.86 : 681,078.34 = 267,180.36 : x
  2. Step 2: Convert to fraction form
    493,534.86/681,078.34 = 267,180.36/x
  3. Step 3: Cross multiply
    493,534.86x = 681,078.34 × 267,180.36
  4. Step 4: Simplify right side
    493,534.86x = 181,970,756,069.40
  5. Step 5: Solve for x
    x = 181,970,756,069.40/493,534.86
  6. Step 6: Final answer
    x = 368,709.02

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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.