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Finding the Fourth Proportional to 401,738.20, 554,433.14 and 220,485.16

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Solution

The fourth proportional to 401,738.20, 554,433.14 and 220,485.16 is: 304,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,738.20 : 554,433.14 = 220,485.16 : x
  2. Step 2: Convert to fraction form
    401,738.20/554,433.14 = 220,485.16/x
  3. Step 3: Cross multiply
    401,738.20x = 554,433.14 × 220,485.16
  4. Step 4: Simplify right side
    401,738.20x = 122,244,279,582.20
  5. Step 5: Solve for x
    x = 122,244,279,582.20/401,738.20
  6. Step 6: Final answer
    x = 304,288.41

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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.