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Finding the Fourth Proportional to 474,143.91, 711,216.41 and 193,661.16

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Solution

The fourth proportional to 474,143.91, 711,216.41 and 193,661.16 is: 290,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,143.91 : 711,216.41 = 193,661.16 : x
  2. Step 2: Convert to fraction form
    474,143.91/711,216.41 = 193,661.16/x
  3. Step 3: Cross multiply
    474,143.91x = 711,216.41 × 193,661.16
  4. Step 4: Simplify right side
    474,143.91x = 137,734,994,003.33
  5. Step 5: Solve for x
    x = 137,734,994,003.33/474,143.91
  6. Step 6: Final answer
    x = 290,491.96

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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.