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Finding the Fourth Proportional to 299,081.54, 412,628.30 and 191,710.78

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Solution

The fourth proportional to 299,081.54, 412,628.30 and 191,710.78 is: 264,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,081.54 : 412,628.30 = 191,710.78 : x
  2. Step 2: Convert to fraction form
    299,081.54/412,628.30 = 191,710.78/x
  3. Step 3: Cross multiply
    299,081.54x = 412,628.30 × 191,710.78
  4. Step 4: Simplify right side
    299,081.54x = 79,105,293,243.07
  5. Step 5: Solve for x
    x = 79,105,293,243.07/299,081.54
  6. Step 6: Final answer
    x = 264,494.07

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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.