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Finding the Fourth Proportional to 409,010.73, 564,433.49 and 227,717.96

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Solution

The fourth proportional to 409,010.73, 564,433.49 and 227,717.96 is: 314,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,010.73 : 564,433.49 = 227,717.96 : x
  2. Step 2: Convert to fraction form
    409,010.73/564,433.49 = 227,717.96/x
  3. Step 3: Cross multiply
    409,010.73x = 564,433.49 × 227,717.96
  4. Step 4: Simplify right side
    409,010.73x = 128,531,638,937.72
  5. Step 5: Solve for x
    x = 128,531,638,937.72/409,010.73
  6. Step 6: Final answer
    x = 314,250.04

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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.