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Finding the Fourth Proportional to 409,280.26, 564,823.78 and 227,992.14

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Solution

The fourth proportional to 409,280.26, 564,823.78 and 227,992.14 is: 314,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,280.26 : 564,823.78 = 227,992.14 : x
  2. Step 2: Convert to fraction form
    409,280.26/564,823.78 = 227,992.14/x
  3. Step 3: Cross multiply
    409,280.26x = 564,823.78 × 227,992.14
  4. Step 4: Simplify right side
    409,280.26x = 128,775,383,873.20
  5. Step 5: Solve for x
    x = 128,775,383,873.20/409,280.26
  6. Step 6: Final answer
    x = 314,638.64

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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.