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Finding the Fourth Proportional to 349,616.80, 523,388.40 and 231,421.60

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Solution

The fourth proportional to 349,616.80, 523,388.40 and 231,421.60 is: 346,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,616.80 : 523,388.40 = 231,421.60 : x
  2. Step 2: Convert to fraction form
    349,616.80/523,388.40 = 231,421.60/x
  3. Step 3: Cross multiply
    349,616.80x = 523,388.40 × 231,421.60
  4. Step 4: Simplify right side
    349,616.80x = 121,123,380,949.44
  5. Step 5: Solve for x
    x = 121,123,380,949.44/349,616.80
  6. Step 6: Final answer
    x = 346,446.11

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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.