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Finding the Fourth Proportional to 288,999.72, 433,624.14 and 120,553.22

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Solution

The fourth proportional to 288,999.72, 433,624.14 and 120,553.22 is: 180,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,999.72 : 433,624.14 = 120,553.22 : x
  2. Step 2: Convert to fraction form
    288,999.72/433,624.14 = 120,553.22/x
  3. Step 3: Cross multiply
    288,999.72x = 433,624.14 × 120,553.22
  4. Step 4: Simplify right side
    288,999.72x = 52,274,786,346.73
  5. Step 5: Solve for x
    x = 52,274,786,346.73/288,999.72
  6. Step 6: Final answer
    x = 180,881.79

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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.