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Finding the Fourth Proportional to 295,699.85, 443,543.39 and 82,462.08

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Solution

The fourth proportional to 295,699.85, 443,543.39 and 82,462.08 is: 123,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,699.85 : 443,543.39 = 82,462.08 : x
  2. Step 2: Convert to fraction form
    295,699.85/443,543.39 = 82,462.08/x
  3. Step 3: Cross multiply
    295,699.85x = 443,543.39 × 82,462.08
  4. Step 4: Simplify right side
    295,699.85x = 36,575,510,097.34
  5. Step 5: Solve for x
    x = 36,575,510,097.34/295,699.85
  6. Step 6: Final answer
    x = 123,691.34

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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.