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Finding the Fourth Proportional to 412,052.42, 568,605.27 and 230,722.79

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Solution

The fourth proportional to 412,052.42, 568,605.27 and 230,722.79 is: 318,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,052.42 : 568,605.27 = 230,722.79 : x
  2. Step 2: Convert to fraction form
    412,052.42/568,605.27 = 230,722.79/x
  3. Step 3: Cross multiply
    412,052.42x = 568,605.27 × 230,722.79
  4. Step 4: Simplify right side
    412,052.42x = 131,190,191,460.08
  5. Step 5: Solve for x
    x = 131,190,191,460.08/412,052.42
  6. Step 6: Final answer
    x = 318,382.28

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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.