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Finding the Fourth Proportional to 409,127.56, 564,591.48 and 227,835.52

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Solution

The fourth proportional to 409,127.56, 564,591.48 and 227,835.52 is: 314,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,127.56 : 564,591.48 = 227,835.52 : x
  2. Step 2: Convert to fraction form
    409,127.56/564,591.48 = 227,835.52/x
  3. Step 3: Cross multiply
    409,127.56x = 564,591.48 × 227,835.52
  4. Step 4: Simplify right side
    409,127.56x = 128,633,993,433.37
  5. Step 5: Solve for x
    x = 128,633,993,433.37/409,127.56
  6. Step 6: Final answer
    x = 314,410.48

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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.