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Finding the Fourth Proportional to 349,471.44, 523,317.78 and 230,965.20

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Solution

The fourth proportional to 349,471.44, 523,317.78 and 230,965.20 is: 345,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,471.44 : 523,317.78 = 230,965.20 : x
  2. Step 2: Convert to fraction form
    349,471.44/523,317.78 = 230,965.20/x
  3. Step 3: Cross multiply
    349,471.44x = 523,317.78 × 230,965.20
  4. Step 4: Simplify right side
    349,471.44x = 120,868,195,721.26
  5. Step 5: Solve for x
    x = 120,868,195,721.26/349,471.44
  6. Step 6: Final answer
    x = 345,860.01

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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.