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Finding the Fourth Proportional to 511,170.57, 766,893.91 and 156,174.91

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Solution

The fourth proportional to 511,170.57, 766,893.91 and 156,174.91 is: 234,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,170.57 : 766,893.91 = 156,174.91 : x
  2. Step 2: Convert to fraction form
    511,170.57/766,893.91 = 156,174.91/x
  3. Step 3: Cross multiply
    511,170.57x = 766,893.91 × 156,174.91
  4. Step 4: Simplify right side
    511,170.57x = 119,769,587,373.80
  5. Step 5: Solve for x
    x = 119,769,587,373.80/511,170.57
  6. Step 6: Final answer
    x = 234,304.54

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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.