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Finding the Fourth Proportional to 511,722.80, 766,961.52 and 362,006.24

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Solution

The fourth proportional to 511,722.80, 766,961.52 and 362,006.24 is: 542,568.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,722.80 : 766,961.52 = 362,006.24 : x
  2. Step 2: Convert to fraction form
    511,722.80/766,961.52 = 362,006.24/x
  3. Step 3: Cross multiply
    511,722.80x = 766,961.52 × 362,006.24
  4. Step 4: Simplify right side
    511,722.80x = 277,644,852,245.08
  5. Step 5: Solve for x
    x = 277,644,852,245.08/511,722.80
  6. Step 6: Final answer
    x = 542,568.86

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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.