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Finding the Fourth Proportional to 391,804.76, 587,704.70 and 189,164.46

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Solution

The fourth proportional to 391,804.76, 587,704.70 and 189,164.46 is: 283,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,804.76 : 587,704.70 = 189,164.46 : x
  2. Step 2: Convert to fraction form
    391,804.76/587,704.70 = 189,164.46/x
  3. Step 3: Cross multiply
    391,804.76x = 587,704.70 × 189,164.46
  4. Step 4: Simplify right side
    391,804.76x = 111,172,842,214.96
  5. Step 5: Solve for x
    x = 111,172,842,214.96/391,804.76
  6. Step 6: Final answer
    x = 283,745.51

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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.