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Finding the Fourth Proportional to 561,273.92, 842,242.88 and 206,536.92

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Solution

The fourth proportional to 561,273.92, 842,242.88 and 206,536.92 is: 309,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,273.92 : 842,242.88 = 206,536.92 : x
  2. Step 2: Convert to fraction form
    561,273.92/842,242.88 = 206,536.92/x
  3. Step 3: Cross multiply
    561,273.92x = 842,242.88 × 206,536.92
  4. Step 4: Simplify right side
    561,273.92x = 173,954,250,327.13
  5. Step 5: Solve for x
    x = 173,954,250,327.13/561,273.92
  6. Step 6: Final answer
    x = 309,927.55

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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.