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Finding the Fourth Proportional to 511,138.44, 766,134.18 and 173,864.16

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Solution

The fourth proportional to 511,138.44, 766,134.18 and 173,864.16 is: 260,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,138.44 : 766,134.18 = 173,864.16 : x
  2. Step 2: Convert to fraction form
    511,138.44/766,134.18 = 173,864.16/x
  3. Step 3: Cross multiply
    511,138.44x = 766,134.18 × 173,864.16
  4. Step 4: Simplify right side
    511,138.44x = 133,203,275,652.99
  5. Step 5: Solve for x
    x = 133,203,275,652.99/511,138.44
  6. Step 6: Final answer
    x = 260,601.17

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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.