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Finding the Fourth Proportional to 477,141.38, 658,456.47 and 273,195.44

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Solution

The fourth proportional to 477,141.38, 658,456.47 and 273,195.44 is: 377,010.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,141.38 : 658,456.47 = 273,195.44 : x
  2. Step 2: Convert to fraction form
    477,141.38/658,456.47 = 273,195.44/x
  3. Step 3: Cross multiply
    477,141.38x = 658,456.47 × 273,195.44
  4. Step 4: Simplify right side
    477,141.38x = 179,887,301,750.21
  5. Step 5: Solve for x
    x = 179,887,301,750.21/477,141.38
  6. Step 6: Final answer
    x = 377,010.49

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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.