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Finding the Fourth Proportional to 325,832.40, 488,311.20 and 232,228.80

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Solution

The fourth proportional to 325,832.40, 488,311.20 and 232,228.80 is: 348,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,832.40 : 488,311.20 = 232,228.80 : x
  2. Step 2: Convert to fraction form
    325,832.40/488,311.20 = 232,228.80/x
  3. Step 3: Cross multiply
    325,832.40x = 488,311.20 × 232,228.80
  4. Step 4: Simplify right side
    325,832.40x = 113,399,924,002.56
  5. Step 5: Solve for x
    x = 113,399,924,002.56/325,832.40
  6. Step 6: Final answer
    x = 348,031.45

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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.