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Finding the Fourth Proportional to 474,446.26, 711,669.85 and 193,963.51

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Solution

The fourth proportional to 474,446.26, 711,669.85 and 193,963.51 is: 290,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,446.26 : 711,669.85 = 193,963.51 : x
  2. Step 2: Convert to fraction form
    474,446.26/711,669.85 = 193,963.51/x
  3. Step 3: Cross multiply
    474,446.26x = 711,669.85 × 193,963.51
  4. Step 4: Simplify right side
    474,446.26x = 138,037,982,471.85
  5. Step 5: Solve for x
    x = 138,037,982,471.85/474,446.26
  6. Step 6: Final answer
    x = 290,945.45

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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.