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Finding the Fourth Proportional to 391,743.60, 587,205.80 and 213,977.20

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Solution

The fourth proportional to 391,743.60, 587,205.80 and 213,977.20 is: 320,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,743.60 : 587,205.80 = 213,977.20 : x
  2. Step 2: Convert to fraction form
    391,743.60/587,205.80 = 213,977.20/x
  3. Step 3: Cross multiply
    391,743.60x = 587,205.80 × 213,977.20
  4. Step 4: Simplify right side
    391,743.60x = 125,648,652,907.76
  5. Step 5: Solve for x
    x = 125,648,652,907.76/391,743.60
  6. Step 6: Final answer
    x = 320,742.07

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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.