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Finding the Fourth Proportional to 474,268.77, 711,404.37 and 193,786.02

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Solution

The fourth proportional to 474,268.77, 711,404.37 and 193,786.02 is: 290,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,268.77 : 711,404.37 = 193,786.02 : x
  2. Step 2: Convert to fraction form
    474,268.77/711,404.37 = 193,786.02/x
  3. Step 3: Cross multiply
    474,268.77x = 711,404.37 × 193,786.02
  4. Step 4: Simplify right side
    474,268.77x = 137,860,221,472.91
  5. Step 5: Solve for x
    x = 137,860,221,472.91/474,268.77
  6. Step 6: Final answer
    x = 290,679.53

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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.