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Finding the Fourth Proportional to 299,327.75, 413,076.11 and 176,824.16

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Solution

The fourth proportional to 299,327.75, 413,076.11 and 176,824.16 is: 244,019.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,327.75 : 413,076.11 = 176,824.16 : x
  2. Step 2: Convert to fraction form
    299,327.75/413,076.11 = 176,824.16/x
  3. Step 3: Cross multiply
    299,327.75x = 413,076.11 × 176,824.16
  4. Step 4: Simplify right side
    299,327.75x = 73,041,833,217.32
  5. Step 5: Solve for x
    x = 73,041,833,217.32/299,327.75
  6. Step 6: Final answer
    x = 244,019.59

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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.