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Finding the Fourth Proportional to 411,857.16, 568,373.70 and 230,568.30

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Solution

The fourth proportional to 411,857.16, 568,373.70 and 230,568.30 is: 318,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,857.16 : 568,373.70 = 230,568.30 : x
  2. Step 2: Convert to fraction form
    411,857.16/568,373.70 = 230,568.30/x
  3. Step 3: Cross multiply
    411,857.16x = 568,373.70 × 230,568.30
  4. Step 4: Simplify right side
    411,857.16x = 131,048,957,773.71
  5. Step 5: Solve for x
    x = 131,048,957,773.71/411,857.16
  6. Step 6: Final answer
    x = 318,190.31

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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.