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Finding the Fourth Proportional to 288,694.96, 433,014.60 and 88,961.70

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Solution

The fourth proportional to 288,694.96, 433,014.60 and 88,961.70 is: 133,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694.96 : 433,014.60 = 88,961.70 : x
  2. Step 2: Convert to fraction form
    288,694.96/433,014.60 = 88,961.70/x
  3. Step 3: Cross multiply
    288,694.96x = 433,014.60 × 88,961.70
  4. Step 4: Simplify right side
    288,694.96x = 38,521,714,940.82
  5. Step 5: Solve for x
    x = 38,521,714,940.82/288,694.96
  6. Step 6: Final answer
    x = 133,433.97

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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.