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Finding the Fourth Proportional to 409,270.58, 564,784.89 and 227,982.26

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Solution

The fourth proportional to 409,270.58, 564,784.89 and 227,982.26 is: 314,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,270.58 : 564,784.89 = 227,982.26 : x
  2. Step 2: Convert to fraction form
    409,270.58/564,784.89 = 227,982.26/x
  3. Step 3: Cross multiply
    409,270.58x = 564,784.89 × 227,982.26
  4. Step 4: Simplify right side
    409,270.58x = 128,760,935,636.05
  5. Step 5: Solve for x
    x = 128,760,935,636.05/409,270.58
  6. Step 6: Final answer
    x = 314,610.78

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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.