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Finding the Fourth Proportional to 313,456.38, 432,596.61 and 177,514.35

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Solution

The fourth proportional to 313,456.38, 432,596.61 and 177,514.35 is: 244,984.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,456.38 : 432,596.61 = 177,514.35 : x
  2. Step 2: Convert to fraction form
    313,456.38/432,596.61 = 177,514.35/x
  3. Step 3: Cross multiply
    313,456.38x = 432,596.61 × 177,514.35
  4. Step 4: Simplify right side
    313,456.38x = 76,792,106,036.35
  5. Step 5: Solve for x
    x = 76,792,106,036.35/313,456.38
  6. Step 6: Final answer
    x = 244,984.98

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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.