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Finding the Fourth Proportional to 295,149.27, 407,304.09 and 167,824.85

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Solution

The fourth proportional to 295,149.27, 407,304.09 and 167,824.85 is: 231,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,149.27 : 407,304.09 = 167,824.85 : x
  2. Step 2: Convert to fraction form
    295,149.27/407,304.09 = 167,824.85/x
  3. Step 3: Cross multiply
    295,149.27x = 407,304.09 × 167,824.85
  4. Step 4: Simplify right side
    295,149.27x = 68,355,747,808.64
  5. Step 5: Solve for x
    x = 68,355,747,808.64/295,149.27
  6. Step 6: Final answer
    x = 231,597.21

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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.