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Finding the Fourth Proportional to 313,382.25, 432,472.59 and 177,412.68

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Solution

The fourth proportional to 313,382.25, 432,472.59 and 177,412.68 is: 244,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,382.25 : 432,472.59 = 177,412.68 : x
  2. Step 2: Convert to fraction form
    313,382.25/432,472.59 = 177,412.68/x
  3. Step 3: Cross multiply
    313,382.25x = 432,472.59 × 177,412.68
  4. Step 4: Simplify right side
    313,382.25x = 76,726,121,218.44
  5. Step 5: Solve for x
    x = 76,726,121,218.44/313,382.25
  6. Step 6: Final answer
    x = 244,832.38

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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.