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Finding the Fourth Proportional to 409,139.14, 564,571.60 and 227,867.94

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Solution

The fourth proportional to 409,139.14, 564,571.60 and 227,867.94 is: 314,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,139.14 : 564,571.60 = 227,867.94 : x
  2. Step 2: Convert to fraction form
    409,139.14/564,571.60 = 227,867.94/x
  3. Step 3: Cross multiply
    409,139.14x = 564,571.60 × 227,867.94
  4. Step 4: Simplify right side
    409,139.14x = 128,647,767,474.50
  5. Step 5: Solve for x
    x = 128,647,767,474.50/409,139.14
  6. Step 6: Final answer
    x = 314,435.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.