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Finding the Fourth Proportional to 408,023.20, 611,437.20 and 365,903.20

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Solution

The fourth proportional to 408,023.20, 611,437.20 and 365,903.20 is: 548,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.20 : 611,437.20 = 365,903.20 : x
  2. Step 2: Convert to fraction form
    408,023.20/611,437.20 = 365,903.20/x
  3. Step 3: Cross multiply
    408,023.20x = 611,437.20 × 365,903.20
  4. Step 4: Simplify right side
    408,023.20x = 223,726,828,079.04
  5. Step 5: Solve for x
    x = 223,726,828,079.04/408,023.20
  6. Step 6: Final answer
    x = 548,318.89

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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.