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Finding the Fourth Proportional to 320,083.97, 441,678.23 and 176,835.47

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Solution

The fourth proportional to 320,083.97, 441,678.23 and 176,835.47 is: 244,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,083.97 : 441,678.23 = 176,835.47 : x
  2. Step 2: Convert to fraction form
    320,083.97/441,678.23 = 176,835.47/x
  3. Step 3: Cross multiply
    320,083.97x = 441,678.23 × 176,835.47
  4. Step 4: Simplify right side
    320,083.97x = 78,104,377,390.82
  5. Step 5: Solve for x
    x = 78,104,377,390.82/320,083.97
  6. Step 6: Final answer
    x = 244,012.15

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1.5x scale

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.