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Finding the Fourth Proportional to 391,680, 587,518.56 and 111,197.28

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Solution

The fourth proportional to 391,680, 587,518.56 and 111,197.28 is: 166,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,680 : 587,518.56 = 111,197.28 : x
  2. Step 2: Convert to fraction form
    391,680/587,518.56 = 111,197.28/x
  3. Step 3: Cross multiply
    391,680x = 587,518.56 × 111,197.28
  4. Step 4: Simplify right side
    391,680x = 65,330,465,821.52
  5. Step 5: Solve for x
    x = 65,330,465,821.52/391,680
  6. Step 6: Final answer
    x = 166,795.51

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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.