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Finding the Fourth Proportional to 561,913.75, 842,871.48 and 229,489.75

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Solution

The fourth proportional to 561,913.75, 842,871.48 and 229,489.75 is: 344,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,913.75 : 842,871.48 = 229,489.75 : x
  2. Step 2: Convert to fraction form
    561,913.75/842,871.48 = 229,489.75/x
  3. Step 3: Cross multiply
    561,913.75x = 842,871.48 × 229,489.75
  4. Step 4: Simplify right side
    561,913.75x = 193,430,365,227.33
  5. Step 5: Solve for x
    x = 193,430,365,227.33/561,913.75
  6. Step 6: Final answer
    x = 344,234.97

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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.