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Finding the Fourth Proportional to 392,464.80, 588,740.40 and 143,200.80

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Solution

The fourth proportional to 392,464.80, 588,740.40 and 143,200.80 is: 214,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,464.80 : 588,740.40 = 143,200.80 : x
  2. Step 2: Convert to fraction form
    392,464.80/588,740.40 = 143,200.80/x
  3. Step 3: Cross multiply
    392,464.80x = 588,740.40 × 143,200.80
  4. Step 4: Simplify right side
    392,464.80x = 84,308,096,272.32
  5. Step 5: Solve for x
    x = 84,308,096,272.32/392,464.80
  6. Step 6: Final answer
    x = 214,816.96

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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.