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Finding the Fourth Proportional to 409,280.06, 564,823.50 and 227,991.94

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Solution

The fourth proportional to 409,280.06, 564,823.50 and 227,991.94 is: 314,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,280.06 : 564,823.50 = 227,991.94 : x
  2. Step 2: Convert to fraction form
    409,280.06/564,823.50 = 227,991.94/x
  3. Step 3: Cross multiply
    409,280.06x = 564,823.50 × 227,991.94
  4. Step 4: Simplify right side
    409,280.06x = 128,775,205,522.59
  5. Step 5: Solve for x
    x = 128,775,205,522.59/409,280.06
  6. Step 6: Final answer
    x = 314,638.36

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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.