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Finding the Fourth Proportional to 412,000.32, 568,513.44 and 230,687.04

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Solution

The fourth proportional to 412,000.32, 568,513.44 and 230,687.04 is: 318,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,000.32 : 568,513.44 = 230,687.04 : x
  2. Step 2: Convert to fraction form
    412,000.32/568,513.44 = 230,687.04/x
  3. Step 3: Cross multiply
    412,000.32x = 568,513.44 × 230,687.04
  4. Step 4: Simplify right side
    412,000.32x = 131,148,679,831.25
  5. Step 5: Solve for x
    x = 131,148,679,831.25/412,000.32
  6. Step 6: Final answer
    x = 318,321.80

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