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Finding the Fourth Proportional to 392,410.40, 587,449.20 and 259,440.80

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Solution

The fourth proportional to 392,410.40, 587,449.20 and 259,440.80 is: 388,390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,410.40 : 587,449.20 = 259,440.80 : x
  2. Step 2: Convert to fraction form
    392,410.40/587,449.20 = 259,440.80/x
  3. Step 3: Cross multiply
    392,410.40x = 587,449.20 × 259,440.80
  4. Step 4: Simplify right side
    392,410.40x = 152,408,290,407.36
  5. Step 5: Solve for x
    x = 152,408,290,407.36/392,410.40
  6. Step 6: Final answer
    x = 388,390.04

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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.