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Finding the Fourth Proportional to 414,712.45, 621,698.22 and 161,934.13

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Solution

The fourth proportional to 414,712.45, 621,698.22 and 161,934.13 is: 242,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,712.45 : 621,698.22 = 161,934.13 : x
  2. Step 2: Convert to fraction form
    414,712.45/621,698.22 = 161,934.13/x
  3. Step 3: Cross multiply
    414,712.45x = 621,698.22 × 161,934.13
  4. Step 4: Simplify right side
    414,712.45x = 100,674,160,378.25
  5. Step 5: Solve for x
    x = 100,674,160,378.25/414,712.45
  6. Step 6: Final answer
    x = 242,756.54

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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.