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Finding the Fourth Proportional to 501,977.56, 752,888.28 and 165,015.97

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Solution

The fourth proportional to 501,977.56, 752,888.28 and 165,015.97 is: 247,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,977.56 : 752,888.28 = 165,015.97 : x
  2. Step 2: Convert to fraction form
    501,977.56/752,888.28 = 165,015.97/x
  3. Step 3: Cross multiply
    501,977.56x = 752,888.28 × 165,015.97
  4. Step 4: Simplify right side
    501,977.56x = 124,238,589,825.83
  5. Step 5: Solve for x
    x = 124,238,589,825.83/501,977.56
  6. Step 6: Final answer
    x = 247,498.29

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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.