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Finding the Fourth Proportional to 561,909.96, 842,865.72 and 229,485.96

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Solution

The fourth proportional to 561,909.96, 842,865.72 and 229,485.96 is: 344,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,909.96 : 842,865.72 = 229,485.96 : x
  2. Step 2: Convert to fraction form
    561,909.96/842,865.72 = 229,485.96/x
  3. Step 3: Cross multiply
    561,909.96x = 842,865.72 × 229,485.96
  4. Step 4: Simplify right side
    561,909.96x = 193,425,848,905.29
  5. Step 5: Solve for x
    x = 193,425,848,905.29/561,909.96
  6. Step 6: Final answer
    x = 344,229.26

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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.