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Finding the Fourth Proportional to 391,834.62, 587,752.55 and 107,529.06

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Solution

The fourth proportional to 391,834.62, 587,752.55 and 107,529.06 is: 161,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,834.62 : 587,752.55 = 107,529.06 : x
  2. Step 2: Convert to fraction form
    391,834.62/587,752.55 = 107,529.06/x
  3. Step 3: Cross multiply
    391,834.62x = 587,752.55 × 107,529.06
  4. Step 4: Simplify right side
    391,834.62x = 63,200,481,283.76
  5. Step 5: Solve for x
    x = 63,200,481,283.76/391,834.62
  6. Step 6: Final answer
    x = 161,293.77

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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.