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Finding the Fourth Proportional to 540,854.73, 811,414.94 and 185,873.85

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Solution

The fourth proportional to 540,854.73, 811,414.94 and 185,873.85 is: 278,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,854.73 : 811,414.94 = 185,873.85 : x
  2. Step 2: Convert to fraction form
    540,854.73/811,414.94 = 185,873.85/x
  3. Step 3: Cross multiply
    540,854.73x = 811,414.94 × 185,873.85
  4. Step 4: Simplify right side
    540,854.73x = 150,820,818,845.32
  5. Step 5: Solve for x
    x = 150,820,818,845.32/540,854.73
  6. Step 6: Final answer
    x = 278,856.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.