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Finding the Fourth Proportional to 391,805.76, 587,706.20 and 189,165.46

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Solution

The fourth proportional to 391,805.76, 587,706.20 and 189,165.46 is: 283,747.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,805.76 : 587,706.20 = 189,165.46 : x
  2. Step 2: Convert to fraction form
    391,805.76/587,706.20 = 189,165.46/x
  3. Step 3: Cross multiply
    391,805.76x = 587,706.20 × 189,165.46
  4. Step 4: Simplify right side
    391,805.76x = 111,173,713,667.85
  5. Step 5: Solve for x
    x = 111,173,713,667.85/391,805.76
  6. Step 6: Final answer
    x = 283,747.01

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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.