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Finding the Fourth Proportional to 288,693.38, 433,012.24 and 88,960.14

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Solution

The fourth proportional to 288,693.38, 433,012.24 and 88,960.14 is: 133,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,693.38 : 433,012.24 = 88,960.14 : x
  2. Step 2: Convert to fraction form
    288,693.38/433,012.24 = 88,960.14/x
  3. Step 3: Cross multiply
    288,693.38x = 433,012.24 × 88,960.14
  4. Step 4: Simplify right side
    288,693.38x = 38,520,829,047.31
  5. Step 5: Solve for x
    x = 38,520,829,047.31/288,693.38
  6. Step 6: Final answer
    x = 133,431.63

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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.