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Finding the Fourth Proportional to 631,171.98, 871,020.54 and 344,692.06

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Solution

The fourth proportional to 631,171.98, 871,020.54 and 344,692.06 is: 475,676.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,171.98 : 871,020.54 = 344,692.06 : x
  2. Step 2: Convert to fraction form
    631,171.98/871,020.54 = 344,692.06/x
  3. Step 3: Cross multiply
    631,171.98x = 871,020.54 × 344,692.06
  4. Step 4: Simplify right side
    631,171.98x = 300,233,862,057.36
  5. Step 5: Solve for x
    x = 300,233,862,057.36/631,171.98
  6. Step 6: Final answer
    x = 475,676.79

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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.