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Finding the Fourth Proportional to 561,871.56, 842,808.06 and 229,447.56

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Solution

The fourth proportional to 561,871.56, 842,808.06 and 229,447.56 is: 344,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,871.56 : 842,808.06 = 229,447.56 : x
  2. Step 2: Convert to fraction form
    561,871.56/842,808.06 = 229,447.56/x
  3. Step 3: Cross multiply
    561,871.56x = 842,808.06 × 229,447.56
  4. Step 4: Simplify right side
    561,871.56x = 193,380,252,915.33
  5. Step 5: Solve for x
    x = 193,380,252,915.33/561,871.56
  6. Step 6: Final answer
    x = 344,171.63

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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.