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Finding the Fourth Proportional to 391,865.09, 587,964.05 and 214,164.50

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Solution

The fourth proportional to 391,865.09, 587,964.05 and 214,164.50 is: 321,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,865.09 : 587,964.05 = 214,164.50 : x
  2. Step 2: Convert to fraction form
    391,865.09/587,964.05 = 214,164.50/x
  3. Step 3: Cross multiply
    391,865.09x = 587,964.05 × 214,164.50
  4. Step 4: Simplify right side
    391,865.09x = 125,921,025,715.40
  5. Step 5: Solve for x
    x = 125,921,025,715.40/391,865.09
  6. Step 6: Final answer
    x = 321,337.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.