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Finding the Fourth Proportional to 414,946.70, 622,050.79 and 162,169.71

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Solution

The fourth proportional to 414,946.70, 622,050.79 and 162,169.71 is: 243,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,946.70 : 622,050.79 = 162,169.71 : x
  2. Step 2: Convert to fraction form
    414,946.70/622,050.79 = 162,169.71/x
  3. Step 3: Cross multiply
    414,946.70x = 622,050.79 × 162,169.71
  4. Step 4: Simplify right side
    414,946.70x = 100,877,796,219.57
  5. Step 5: Solve for x
    x = 100,877,796,219.57/414,946.70
  6. Step 6: Final answer
    x = 243,110.25

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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.