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Finding the Fourth Proportional to 320,092.75, 441,745.71 and 176,849.72

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Solution

The fourth proportional to 320,092.75, 441,745.71 and 176,849.72 is: 244,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,092.75 : 441,745.71 = 176,849.72 : x
  2. Step 2: Convert to fraction form
    320,092.75/441,745.71 = 176,849.72/x
  3. Step 3: Cross multiply
    320,092.75x = 441,745.71 × 176,849.72
  4. Step 4: Simplify right side
    320,092.75x = 78,122,602,915.97
  5. Step 5: Solve for x
    x = 78,122,602,915.97/320,092.75
  6. Step 6: Final answer
    x = 244,062.40

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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.