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Finding the Fourth Proportional to 411,912.66, 568,412.52 and 230,622.90

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Solution

The fourth proportional to 411,912.66, 568,412.52 and 230,622.90 is: 318,244.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,912.66 : 568,412.52 = 230,622.90 : x
  2. Step 2: Convert to fraction form
    411,912.66/568,412.52 = 230,622.90/x
  3. Step 3: Cross multiply
    411,912.66x = 568,412.52 × 230,622.90
  4. Step 4: Simplify right side
    411,912.66x = 131,088,943,758.71
  5. Step 5: Solve for x
    x = 131,088,943,758.71/411,912.66
  6. Step 6: Final answer
    x = 318,244.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.