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Finding the Fourth Proportional to 474,470.36, 711,705.52 and 193,922

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Solution

The fourth proportional to 474,470.36, 711,705.52 and 193,922 is: 290,882.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,470.36 : 711,705.52 = 193,922 : x
  2. Step 2: Convert to fraction form
    474,470.36/711,705.52 = 193,922/x
  3. Step 3: Cross multiply
    474,470.36x = 711,705.52 × 193,922
  4. Step 4: Simplify right side
    474,470.36x = 138,015,357,849.44
  5. Step 5: Solve for x
    x = 138,015,357,849.44/474,470.36
  6. Step 6: Final answer
    x = 290,882.99

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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.