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Finding the Fourth Proportional to 474,087.21, 711,131.50 and 193,604.46

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Solution

The fourth proportional to 474,087.21, 711,131.50 and 193,604.46 is: 290,406.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,087.21 : 711,131.50 = 193,604.46 : x
  2. Step 2: Convert to fraction form
    474,087.21/711,131.50 = 193,604.46/x
  3. Step 3: Cross multiply
    474,087.21x = 711,131.50 × 193,604.46
  4. Step 4: Simplify right side
    474,087.21x = 137,678,230,046.49
  5. Step 5: Solve for x
    x = 137,678,230,046.49/474,087.21
  6. Step 6: Final answer
    x = 290,406.97

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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.