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Finding the Fourth Proportional to 501,797.70, 752,295.14 and 261,791.16

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Solution

The fourth proportional to 501,797.70, 752,295.14 and 261,791.16 is: 392,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,797.70 : 752,295.14 = 261,791.16 : x
  2. Step 2: Convert to fraction form
    501,797.70/752,295.14 = 261,791.16/x
  3. Step 3: Cross multiply
    501,797.70x = 752,295.14 × 261,791.16
  4. Step 4: Simplify right side
    501,797.70x = 196,944,217,362.96
  5. Step 5: Solve for x
    x = 196,944,217,362.96/501,797.70
  6. Step 6: Final answer
    x = 392,477.32

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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.