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Finding the Fourth Proportional to 409,405.79, 564,991.86 and 237,324.43

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Solution

The fourth proportional to 409,405.79, 564,991.86 and 237,324.43 is: 327,514.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,405.79 : 564,991.86 = 237,324.43 : x
  2. Step 2: Convert to fraction form
    409,405.79/564,991.86 = 237,324.43/x
  3. Step 3: Cross multiply
    409,405.79x = 564,991.86 × 237,324.43
  4. Step 4: Simplify right side
    409,405.79x = 134,086,371,390.40
  5. Step 5: Solve for x
    x = 134,086,371,390.40/409,405.79
  6. Step 6: Final answer
    x = 327,514.59

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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.