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Finding the Fourth Proportional to 320,081.97, 441,675.47 and 176,833.47

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Solution

The fourth proportional to 320,081.97, 441,675.47 and 176,833.47 is: 244,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,081.97 : 441,675.47 = 176,833.47 : x
  2. Step 2: Convert to fraction form
    320,081.97/441,675.47 = 176,833.47/x
  3. Step 3: Cross multiply
    320,081.97x = 441,675.47 × 176,833.47
  4. Step 4: Simplify right side
    320,081.97x = 78,103,006,416.06
  5. Step 5: Solve for x
    x = 78,103,006,416.06/320,081.97
  6. Step 6: Final answer
    x = 244,009.39

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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.