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Finding the Fourth Proportional to 295,770.24, 443,648.88 and 82,532.48

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Solution

The fourth proportional to 295,770.24, 443,648.88 and 82,532.48 is: 123,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,770.24 : 443,648.88 = 82,532.48 : x
  2. Step 2: Convert to fraction form
    295,770.24/443,648.88 = 82,532.48/x
  3. Step 3: Cross multiply
    295,770.24x = 443,648.88 × 82,532.48
  4. Step 4: Simplify right side
    295,770.24x = 36,615,440,097.38
  5. Step 5: Solve for x
    x = 36,615,440,097.38/295,770.24
  6. Step 6: Final answer
    x = 123,796.90

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Why These Related Problems?

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