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Finding the Fourth Proportional to 408,001.80, 611,711.10 and 183,178.20

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Solution

The fourth proportional to 408,001.80, 611,711.10 and 183,178.20 is: 274,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,001.80 : 611,711.10 = 183,178.20 : x
  2. Step 2: Convert to fraction form
    408,001.80/611,711.10 = 183,178.20/x
  3. Step 3: Cross multiply
    408,001.80x = 611,711.10 × 183,178.20
  4. Step 4: Simplify right side
    408,001.80x = 112,052,138,218.02
  5. Step 5: Solve for x
    x = 112,052,138,218.02/408,001.80
  6. Step 6: Final answer
    x = 274,636.38

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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.