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Finding the Fourth Proportional to 406,219.69, 561,167.10 and 324,440.58

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Solution

The fourth proportional to 406,219.69, 561,167.10 and 324,440.58 is: 448,194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,219.69 : 561,167.10 = 324,440.58 : x
  2. Step 2: Convert to fraction form
    406,219.69/561,167.10 = 324,440.58/x
  3. Step 3: Cross multiply
    406,219.69x = 561,167.10 × 324,440.58
  4. Step 4: Simplify right side
    406,219.69x = 182,065,379,400.92
  5. Step 5: Solve for x
    x = 182,065,379,400.92/406,219.69
  6. Step 6: Final answer
    x = 448,194.37

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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.