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Finding the Fourth Proportional to 409,125.28, 564,577.14 and 227,844.86

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Solution

The fourth proportional to 409,125.28, 564,577.14 and 227,844.86 is: 314,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,125.28 : 564,577.14 = 227,844.86 : x
  2. Step 2: Convert to fraction form
    409,125.28/564,577.14 = 227,844.86/x
  3. Step 3: Cross multiply
    409,125.28x = 564,577.14 × 227,844.86
  4. Step 4: Simplify right side
    409,125.28x = 128,635,999,422.50
  5. Step 5: Solve for x
    x = 128,635,999,422.50/409,125.28
  6. Step 6: Final answer
    x = 314,417.14

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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.