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Finding the Fourth Proportional to 313,937.56, 471,115.73 and 114,257.89

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Solution

The fourth proportional to 313,937.56, 471,115.73 and 114,257.89 is: 171,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,937.56 : 471,115.73 = 114,257.89 : x
  2. Step 2: Convert to fraction form
    313,937.56/471,115.73 = 114,257.89/x
  3. Step 3: Cross multiply
    313,937.56x = 471,115.73 × 114,257.89
  4. Step 4: Simplify right side
    313,937.56x = 53,828,689,255.61
  5. Step 5: Solve for x
    x = 53,828,689,255.61/313,937.56
  6. Step 6: Final answer
    x = 171,463.04

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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.