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Finding the Fourth Proportional to 474,116.33, 711,175.21 and 193,633.58

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Solution

The fourth proportional to 474,116.33, 711,175.21 and 193,633.58 is: 290,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,116.33 : 711,175.21 = 193,633.58 : x
  2. Step 2: Convert to fraction form
    474,116.33/711,175.21 = 193,633.58/x
  3. Step 3: Cross multiply
    474,116.33x = 711,175.21 × 193,633.58
  4. Step 4: Simplify right side
    474,116.33x = 137,707,397,879.59
  5. Step 5: Solve for x
    x = 137,707,397,879.59/474,116.33
  6. Step 6: Final answer
    x = 290,450.66

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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.