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Finding the Fourth Proportional to 379,232.73, 523,296.59 and 209,456.73

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Solution

The fourth proportional to 379,232.73, 523,296.59 and 209,456.73 is: 289,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,232.73 : 523,296.59 = 209,456.73 : x
  2. Step 2: Convert to fraction form
    379,232.73/523,296.59 = 209,456.73/x
  3. Step 3: Cross multiply
    379,232.73x = 523,296.59 × 209,456.73
  4. Step 4: Simplify right side
    379,232.73x = 109,607,991,514.27
  5. Step 5: Solve for x
    x = 109,607,991,514.27/379,232.73
  6. Step 6: Final answer
    x = 289,025.66

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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.