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Finding the Fourth Proportional to 414,710.88, 621,695.88 and 161,932.56

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Solution

The fourth proportional to 414,710.88, 621,695.88 and 161,932.56 is: 242,754.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,710.88 : 621,695.88 = 161,932.56 : x
  2. Step 2: Convert to fraction form
    414,710.88/621,695.88 = 161,932.56/x
  3. Step 3: Cross multiply
    414,710.88x = 621,695.88 × 161,932.56
  4. Step 4: Simplify right side
    414,710.88x = 100,672,805,389.85
  5. Step 5: Solve for x
    x = 100,672,805,389.85/414,710.88
  6. Step 6: Final answer
    x = 242,754.19

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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.