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Finding the Fourth Proportional to 322,909.20, 483,211.80 and 204,637.20

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Solution

The fourth proportional to 322,909.20, 483,211.80 and 204,637.20 is: 306,225.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,909.20 : 483,211.80 = 204,637.20 : x
  2. Step 2: Convert to fraction form
    322,909.20/483,211.80 = 204,637.20/x
  3. Step 3: Cross multiply
    322,909.20x = 483,211.80 × 204,637.20
  4. Step 4: Simplify right side
    322,909.20x = 98,883,109,758.96
  5. Step 5: Solve for x
    x = 98,883,109,758.96/322,909.20
  6. Step 6: Final answer
    x = 306,225.74

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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.