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Finding the Fourth Proportional to 408,435.69, 612,711.87 and 127,974.81

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Solution

The fourth proportional to 408,435.69, 612,711.87 and 127,974.81 is: 191,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,435.69 : 612,711.87 = 127,974.81 : x
  2. Step 2: Convert to fraction form
    408,435.69/612,711.87 = 127,974.81/x
  3. Step 3: Cross multiply
    408,435.69x = 612,711.87 × 127,974.81
  4. Step 4: Simplify right side
    408,435.69x = 78,411,685,147.99
  5. Step 5: Solve for x
    x = 78,411,685,147.99/408,435.69
  6. Step 6: Final answer
    x = 191,980.49

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