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Finding the Fourth Proportional to 288,758.13, 433,211.01 and 111,217.47

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Solution

The fourth proportional to 288,758.13, 433,211.01 and 111,217.47 is: 166,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,758.13 : 433,211.01 = 111,217.47 : x
  2. Step 2: Convert to fraction form
    288,758.13/433,211.01 = 111,217.47/x
  3. Step 3: Cross multiply
    288,758.13x = 433,211.01 × 111,217.47
  4. Step 4: Simplify right side
    288,758.13x = 48,180,631,952.26
  5. Step 5: Solve for x
    x = 48,180,631,952.26/288,758.13
  6. Step 6: Final answer
    x = 166,854.63

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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.