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Finding the Fourth Proportional to 474,278.90, 711,419.56 and 193,796.15

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Solution

The fourth proportional to 474,278.90, 711,419.56 and 193,796.15 is: 290,694.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,278.90 : 711,419.56 = 193,796.15 : x
  2. Step 2: Convert to fraction form
    474,278.90/711,419.56 = 193,796.15/x
  3. Step 3: Cross multiply
    474,278.90x = 711,419.56 × 193,796.15
  4. Step 4: Simplify right side
    474,278.90x = 137,870,367,721.11
  5. Step 5: Solve for x
    x = 137,870,367,721.11/474,278.90
  6. Step 6: Final answer
    x = 290,694.71

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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.