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Finding the Fourth Proportional to 511,389.33, 766,960.97 and 156,406.43

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Solution

The fourth proportional to 511,389.33, 766,960.97 and 156,406.43 is: 234,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,389.33 : 766,960.97 = 156,406.43 : x
  2. Step 2: Convert to fraction form
    511,389.33/766,960.97 = 156,406.43/x
  3. Step 3: Cross multiply
    511,389.33x = 766,960.97 × 156,406.43
  4. Step 4: Simplify right side
    511,389.33x = 119,957,622,650.20
  5. Step 5: Solve for x
    x = 119,957,622,650.20/511,389.33
  6. Step 6: Final answer
    x = 234,572.01

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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.