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Finding the Fourth Proportional to 391,785.60, 587,268.80 and 214,019.20

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Solution

The fourth proportional to 391,785.60, 587,268.80 and 214,019.20 is: 320,805.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,785.60 : 587,268.80 = 214,019.20 : x
  2. Step 2: Convert to fraction form
    391,785.60/587,268.80 = 214,019.20/x
  3. Step 3: Cross multiply
    391,785.60x = 587,268.80 × 214,019.20
  4. Step 4: Simplify right side
    391,785.60x = 125,686,798,760.96
  5. Step 5: Solve for x
    x = 125,686,798,760.96/391,785.60
  6. Step 6: Final answer
    x = 320,805.05

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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.