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Finding the Fourth Proportional to 511,201.89, 766,958.57 and 241,537.10

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Solution

The fourth proportional to 511,201.89, 766,958.57 and 241,537.10 is: 362,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,201.89 : 766,958.57 = 241,537.10 : x
  2. Step 2: Convert to fraction form
    511,201.89/766,958.57 = 241,537.10/x
  3. Step 3: Cross multiply
    511,201.89x = 766,958.57 × 241,537.10
  4. Step 4: Simplify right side
    511,201.89x = 185,248,945,692.87
  5. Step 5: Solve for x
    x = 185,248,945,692.87/511,201.89
  6. Step 6: Final answer
    x = 362,379.23

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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.