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Finding the Fourth Proportional to 416,024.80, 623,806.80 and 179,327.20

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Solution

The fourth proportional to 416,024.80, 623,806.80 and 179,327.20 is: 268,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,024.80 : 623,806.80 = 179,327.20 : x
  2. Step 2: Convert to fraction form
    416,024.80/623,806.80 = 179,327.20/x
  3. Step 3: Cross multiply
    416,024.80x = 623,806.80 × 179,327.20
  4. Step 4: Simplify right side
    416,024.80x = 111,865,526,784.96
  5. Step 5: Solve for x
    x = 111,865,526,784.96/416,024.80
  6. Step 6: Final answer
    x = 268,891.49

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Why These Related Problems?

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