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Finding the Fourth Proportional to 322,123.10, 444,012.82 and 218,724.98

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Solution

The fourth proportional to 322,123.10, 444,012.82 and 218,724.98 is: 301,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,123.10 : 444,012.82 = 218,724.98 : x
  2. Step 2: Convert to fraction form
    322,123.10/444,012.82 = 218,724.98/x
  3. Step 3: Cross multiply
    322,123.10x = 444,012.82 × 218,724.98
  4. Step 4: Simplify right side
    322,123.10x = 97,116,695,174.24
  5. Step 5: Solve for x
    x = 97,116,695,174.24/322,123.10
  6. Step 6: Final answer
    x = 301,489.38

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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.