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Finding the Fourth Proportional to 390,947.60, 587,674.20 and 363,213.20

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Solution

The fourth proportional to 390,947.60, 587,674.20 and 363,213.20 is: 545,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,947.60 : 587,674.20 = 363,213.20 : x
  2. Step 2: Convert to fraction form
    390,947.60/587,674.20 = 363,213.20/x
  3. Step 3: Cross multiply
    390,947.60x = 587,674.20 × 363,213.20
  4. Step 4: Simplify right side
    390,947.60x = 213,451,026,739.44
  5. Step 5: Solve for x
    x = 213,451,026,739.44/390,947.60
  6. Step 6: Final answer
    x = 545,983.72

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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.