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Finding the Fourth Proportional to 493,765.92, 681,124.11 and 401,983.95

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Solution

The fourth proportional to 493,765.92, 681,124.11 and 401,983.95 is: 554,515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,765.92 : 681,124.11 = 401,983.95 : x
  2. Step 2: Convert to fraction form
    493,765.92/681,124.11 = 401,983.95/x
  3. Step 3: Cross multiply
    493,765.92x = 681,124.11 × 401,983.95
  4. Step 4: Simplify right side
    493,765.92x = 273,800,960,178.04
  5. Step 5: Solve for x
    x = 273,800,960,178.04/493,765.92
  6. Step 6: Final answer
    x = 554,515.71

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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.