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Finding the Fourth Proportional to 288,760.38, 432,849.84 and 120,373.98

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Solution

The fourth proportional to 288,760.38, 432,849.84 and 120,373.98 is: 180,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,760.38 : 432,849.84 = 120,373.98 : x
  2. Step 2: Convert to fraction form
    288,760.38/432,849.84 = 120,373.98/x
  3. Step 3: Cross multiply
    288,760.38x = 432,849.84 × 120,373.98
  4. Step 4: Simplify right side
    288,760.38x = 52,103,857,983.16
  5. Step 5: Solve for x
    x = 52,103,857,983.16/288,760.38
  6. Step 6: Final answer
    x = 180,439.77

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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.