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Finding the Fourth Proportional to 410,974.12, 566,984.10 and 257,923

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Solution

The fourth proportional to 410,974.12, 566,984.10 and 257,923 is: 355,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,974.12 : 566,984.10 = 257,923 : x
  2. Step 2: Convert to fraction form
    410,974.12/566,984.10 = 257,923/x
  3. Step 3: Cross multiply
    410,974.12x = 566,984.10 × 257,923
  4. Step 4: Simplify right side
    410,974.12x = 146,238,240,024.30
  5. Step 5: Solve for x
    x = 146,238,240,024.30/410,974.12
  6. Step 6: Final answer
    x = 355,833.21

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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.