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Finding the Fourth Proportional to 414,712.63, 621,698.50 and 161,934.31

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Solution

The fourth proportional to 414,712.63, 621,698.50 and 161,934.31 is: 242,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,712.63 : 621,698.50 = 161,934.31 : x
  2. Step 2: Convert to fraction form
    414,712.63/621,698.50 = 161,934.31/x
  3. Step 3: Cross multiply
    414,712.63x = 621,698.50 × 161,934.31
  4. Step 4: Simplify right side
    414,712.63x = 100,674,317,625.54
  5. Step 5: Solve for x
    x = 100,674,317,625.54/414,712.63
  6. Step 6: Final answer
    x = 242,756.82

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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.