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Finding the Fourth Proportional to 409,874, 565,626.12 and 231,026

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Solution

The fourth proportional to 409,874, 565,626.12 and 231,026 is: 318,815.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,874 : 565,626.12 = 231,026 : x
  2. Step 2: Convert to fraction form
    409,874/565,626.12 = 231,026/x
  3. Step 3: Cross multiply
    409,874x = 565,626.12 × 231,026
  4. Step 4: Simplify right side
    409,874x = 130,674,339,999.12
  5. Step 5: Solve for x
    x = 130,674,339,999.12/409,874
  6. Step 6: Final answer
    x = 318,815.88

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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.