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Finding the Fourth Proportional to 406,217.94, 561,164.68 and 324,438.83

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Solution

The fourth proportional to 406,217.94, 561,164.68 and 324,438.83 is: 448,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,217.94 : 561,164.68 = 324,438.83 : x
  2. Step 2: Convert to fraction form
    406,217.94/561,164.68 = 324,438.83/x
  3. Step 3: Cross multiply
    406,217.94x = 561,164.68 × 324,438.83
  4. Step 4: Simplify right side
    406,217.94x = 182,063,610,728.73
  5. Step 5: Solve for x
    x = 182,063,610,728.73/406,217.94
  6. Step 6: Final answer
    x = 448,191.95

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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.