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Finding the Fourth Proportional to 295,820.78, 443,805.77 and 82,588.50

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Solution

The fourth proportional to 295,820.78, 443,805.77 and 82,588.50 is: 123,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,820.78 : 443,805.77 = 82,588.50 : x
  2. Step 2: Convert to fraction form
    295,820.78/443,805.77 = 82,588.50/x
  3. Step 3: Cross multiply
    295,820.78x = 443,805.77 × 82,588.50
  4. Step 4: Simplify right side
    295,820.78x = 36,653,253,042.12
  5. Step 5: Solve for x
    x = 36,653,253,042.12/295,820.78
  6. Step 6: Final answer
    x = 123,903.58

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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.