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Finding the Fourth Proportional to 329,708.13, 494,556.78 and 105,065.48

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Solution

The fourth proportional to 329,708.13, 494,556.78 and 105,065.48 is: 157,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,708.13 : 494,556.78 = 105,065.48 : x
  2. Step 2: Convert to fraction form
    329,708.13/494,556.78 = 105,065.48/x
  3. Step 3: Cross multiply
    329,708.13x = 494,556.78 × 105,065.48
  4. Step 4: Simplify right side
    329,708.13x = 51,960,843,005.17
  5. Step 5: Solve for x
    x = 51,960,843,005.17/329,708.13
  6. Step 6: Final answer
    x = 157,596.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.