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Finding the Fourth Proportional to 408,000.50, 612,022.62 and 127,539.62

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Solution

The fourth proportional to 408,000.50, 612,022.62 and 127,539.62 is: 191,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,000.50 : 612,022.62 = 127,539.62 : x
  2. Step 2: Convert to fraction form
    408,000.50/612,022.62 = 127,539.62/x
  3. Step 3: Cross multiply
    408,000.50x = 612,022.62 × 127,539.62
  4. Step 4: Simplify right side
    408,000.50x = 78,057,132,386.20
  5. Step 5: Solve for x
    x = 78,057,132,386.20/408,000.50
  6. Step 6: Final answer
    x = 191,316.27

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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.