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Finding the Fourth Proportional to 564,571.31, 779,105.08 and 306,453.38

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Solution

The fourth proportional to 564,571.31, 779,105.08 and 306,453.38 is: 422,903.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,571.31 : 779,105.08 = 306,453.38 : x
  2. Step 2: Convert to fraction form
    564,571.31/779,105.08 = 306,453.38/x
  3. Step 3: Cross multiply
    564,571.31x = 779,105.08 × 306,453.38
  4. Step 4: Simplify right side
    564,571.31x = 238,759,385,141.17
  5. Step 5: Solve for x
    x = 238,759,385,141.17/564,571.31
  6. Step 6: Final answer
    x = 422,903.86

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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.