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Finding the Fourth Proportional to 295,097.42, 407,220.03 and 167,770.28

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Solution

The fourth proportional to 295,097.42, 407,220.03 and 167,770.28 is: 231,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,097.42 : 407,220.03 = 167,770.28 : x
  2. Step 2: Convert to fraction form
    295,097.42/407,220.03 = 167,770.28/x
  3. Step 3: Cross multiply
    295,097.42x = 407,220.03 × 167,770.28
  4. Step 4: Simplify right side
    295,097.42x = 68,319,419,472.76
  5. Step 5: Solve for x
    x = 68,319,419,472.76/295,097.42
  6. Step 6: Final answer
    x = 231,514.80

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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.