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Finding the Fourth Proportional to 408,053.38, 563,069.73 and 226,724.35

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Solution

The fourth proportional to 408,053.38, 563,069.73 and 226,724.35 is: 312,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.38 : 563,069.73 = 226,724.35 : x
  2. Step 2: Convert to fraction form
    408,053.38/563,069.73 = 226,724.35/x
  3. Step 3: Cross multiply
    408,053.38x = 563,069.73 × 226,724.35
  4. Step 4: Simplify right side
    408,053.38x = 127,661,618,538.93
  5. Step 5: Solve for x
    x = 127,661,618,538.93/408,053.38
  6. Step 6: Final answer
    x = 312,855.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.