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Finding the Fourth Proportional to 379,174.98, 523,216.89 and 209,398.98

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Solution

The fourth proportional to 379,174.98, 523,216.89 and 209,398.98 is: 288,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,174.98 : 523,216.89 = 209,398.98 : x
  2. Step 2: Convert to fraction form
    379,174.98/523,216.89 = 209,398.98/x
  3. Step 3: Cross multiply
    379,174.98x = 523,216.89 × 209,398.98
  4. Step 4: Simplify right side
    379,174.98x = 109,561,083,084.77
  5. Step 5: Solve for x
    x = 109,561,083,084.77/379,174.98
  6. Step 6: Final answer
    x = 288,945.97

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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.