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Finding the Fourth Proportional to 511,723.80, 766,963.02 and 362,007.24

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Solution

The fourth proportional to 511,723.80, 766,963.02 and 362,007.24 is: 542,570.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,723.80 : 766,963.02 = 362,007.24 : x
  2. Step 2: Convert to fraction form
    511,723.80/766,963.02 = 362,007.24/x
  3. Step 3: Cross multiply
    511,723.80x = 766,963.02 × 362,007.24
  4. Step 4: Simplify right side
    511,723.80x = 277,646,166,052.27
  5. Step 5: Solve for x
    x = 277,646,166,052.27/511,723.80
  6. Step 6: Final answer
    x = 542,570.36

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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.