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Finding the Fourth Proportional to 288,559.73, 432,839.70 and 75,327.04

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Solution

The fourth proportional to 288,559.73, 432,839.70 and 75,327.04 is: 112,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,559.73 : 432,839.70 = 75,327.04 : x
  2. Step 2: Convert to fraction form
    288,559.73/432,839.70 = 75,327.04/x
  3. Step 3: Cross multiply
    288,559.73x = 432,839.70 × 75,327.04
  4. Step 4: Simplify right side
    288,559.73x = 32,604,530,854.65
  5. Step 5: Solve for x
    x = 32,604,530,854.65/288,559.73
  6. Step 6: Final answer
    x = 112,990.58

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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.