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Finding the Fourth Proportional to 407,950.27, 562,517.37 and 278,909.68

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Solution

The fourth proportional to 407,950.27, 562,517.37 and 278,909.68 is: 384,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,950.27 : 562,517.37 = 278,909.68 : x
  2. Step 2: Convert to fraction form
    407,950.27/562,517.37 = 278,909.68/x
  3. Step 3: Cross multiply
    407,950.27x = 562,517.37 × 278,909.68
  4. Step 4: Simplify right side
    407,950.27x = 156,891,535,454.01
  5. Step 5: Solve for x
    x = 156,891,535,454.01/407,950.27
  6. Step 6: Final answer
    x = 384,584.96

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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.