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Finding the Fourth Proportional to 288,694.44, 433,013.83 and 88,961.20

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Solution

The fourth proportional to 288,694.44, 433,013.83 and 88,961.20 is: 133,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694.44 : 433,013.83 = 88,961.20 : x
  2. Step 2: Convert to fraction form
    288,694.44/433,013.83 = 88,961.20/x
  3. Step 3: Cross multiply
    288,694.44x = 433,013.83 × 88,961.20
  4. Step 4: Simplify right side
    288,694.44x = 38,521,429,710.99
  5. Step 5: Solve for x
    x = 38,521,429,710.99/288,694.44
  6. Step 6: Final answer
    x = 133,433.22

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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.