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Finding the Fourth Proportional to 412,283.76, 568,941.67 and 231,003.33

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Solution

The fourth proportional to 412,283.76, 568,941.67 and 231,003.33 is: 318,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,283.76 : 568,941.67 = 231,003.33 : x
  2. Step 2: Convert to fraction form
    412,283.76/568,941.67 = 231,003.33/x
  3. Step 3: Cross multiply
    412,283.76x = 568,941.67 × 231,003.33
  4. Step 4: Simplify right side
    412,283.76x = 131,427,420,345.76
  5. Step 5: Solve for x
    x = 131,427,420,345.76/412,283.76
  6. Step 6: Final answer
    x = 318,779.04

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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.