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Finding the Fourth Proportional to 288,694.85, 433,014.44 and 88,961.61

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Solution

The fourth proportional to 288,694.85, 433,014.44 and 88,961.61 is: 133,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694.85 : 433,014.44 = 88,961.61 : x
  2. Step 2: Convert to fraction form
    288,694.85/433,014.44 = 88,961.61/x
  3. Step 3: Cross multiply
    288,694.85x = 433,014.44 × 88,961.61
  4. Step 4: Simplify right side
    288,694.85x = 38,521,661,290.84
  5. Step 5: Solve for x
    x = 38,521,661,290.84/288,694.85
  6. Step 6: Final answer
    x = 133,433.84

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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.