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Finding the Fourth Proportional to 334,756.31, 461,961.81 and 181,793.07

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Solution

The fourth proportional to 334,756.31, 461,961.81 and 181,793.07 is: 250,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,756.31 : 461,961.81 = 181,793.07 : x
  2. Step 2: Convert to fraction form
    334,756.31/461,961.81 = 181,793.07/x
  3. Step 3: Cross multiply
    334,756.31x = 461,961.81 × 181,793.07
  4. Step 4: Simplify right side
    334,756.31x = 83,981,455,662.66
  5. Step 5: Solve for x
    x = 83,981,455,662.66/334,756.31
  6. Step 6: Final answer
    x = 250,873.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.