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Finding the Fourth Proportional to 414,716.24, 621,703.92 and 161,937.92

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Solution

The fourth proportional to 414,716.24, 621,703.92 and 161,937.92 is: 242,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,716.24 : 621,703.92 = 161,937.92 : x
  2. Step 2: Convert to fraction form
    414,716.24/621,703.92 = 161,937.92/x
  3. Step 3: Cross multiply
    414,716.24x = 621,703.92 × 161,937.92
  4. Step 4: Simplify right side
    414,716.24x = 100,677,439,660.65
  5. Step 5: Solve for x
    x = 100,677,439,660.65/414,716.24
  6. Step 6: Final answer
    x = 242,762.23

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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.