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Finding the Fourth Proportional to 392,464.80, 588,697.20 and 96,976.80

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Solution

The fourth proportional to 392,464.80, 588,697.20 and 96,976.80 is: 145,465.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,464.80 : 588,697.20 = 96,976.80 : x
  2. Step 2: Convert to fraction form
    392,464.80/588,697.20 = 96,976.80/x
  3. Step 3: Cross multiply
    392,464.80x = 588,697.20 × 96,976.80
  4. Step 4: Simplify right side
    392,464.80x = 57,089,970,624.96
  5. Step 5: Solve for x
    x = 57,089,970,624.96/392,464.80
  6. Step 6: Final answer
    x = 145,465.20

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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.