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Finding the Fourth Proportional to 493,709.11, 681,314.63 and 267,354.61

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Solution

The fourth proportional to 493,709.11, 681,314.63 and 267,354.61 is: 368,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,709.11 : 681,314.63 = 267,354.61 : x
  2. Step 2: Convert to fraction form
    493,709.11/681,314.63 = 267,354.61/x
  3. Step 3: Cross multiply
    493,709.11x = 681,314.63 × 267,354.61
  4. Step 4: Simplify right side
    493,709.11x = 182,152,604,150.89
  5. Step 5: Solve for x
    x = 182,152,604,150.89/493,709.11
  6. Step 6: Final answer
    x = 368,947.22

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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.