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Finding the Fourth Proportional to 407,714.80, 611,280.60 and 182,891.20

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Solution

The fourth proportional to 407,714.80, 611,280.60 and 182,891.20 is: 274,206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,714.80 : 611,280.60 = 182,891.20 : x
  2. Step 2: Convert to fraction form
    407,714.80/611,280.60 = 182,891.20/x
  3. Step 3: Cross multiply
    407,714.80x = 611,280.60 × 182,891.20
  4. Step 4: Simplify right side
    407,714.80x = 111,797,842,470.72
  5. Step 5: Solve for x
    x = 111,797,842,470.72/407,714.80
  6. Step 6: Final answer
    x = 274,206.00

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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.