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Finding the Fourth Proportional to 484,233.60, 726,609.60 and 203,779.20

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Solution

The fourth proportional to 484,233.60, 726,609.60 and 203,779.20 is: 305,777.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,233.60 : 726,609.60 = 203,779.20 : x
  2. Step 2: Convert to fraction form
    484,233.60/726,609.60 = 203,779.20/x
  3. Step 3: Cross multiply
    484,233.60x = 726,609.60 × 203,779.20
  4. Step 4: Simplify right side
    484,233.60x = 148,067,923,000.32
  5. Step 5: Solve for x
    x = 148,067,923,000.32/484,233.60
  6. Step 6: Final answer
    x = 305,777.88

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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.