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Finding the Fourth Proportional to 408,883.21, 564,258.75 and 227,591.26

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Solution

The fourth proportional to 408,883.21, 564,258.75 and 227,591.26 is: 314,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,883.21 : 564,258.75 = 227,591.26 : x
  2. Step 2: Convert to fraction form
    408,883.21/564,258.75 = 227,591.26/x
  3. Step 3: Cross multiply
    408,883.21x = 564,258.75 × 227,591.26
  4. Step 4: Simplify right side
    408,883.21x = 128,420,357,057.23
  5. Step 5: Solve for x
    x = 128,420,357,057.23/408,883.21
  6. Step 6: Final answer
    x = 314,075.89

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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.