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Finding the Fourth Proportional to 538,348.80, 807,231.60 and 222,837.60

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Solution

The fourth proportional to 538,348.80, 807,231.60 and 222,837.60 is: 334,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,348.80 : 807,231.60 = 222,837.60 : x
  2. Step 2: Convert to fraction form
    538,348.80/807,231.60 = 222,837.60/x
  3. Step 3: Cross multiply
    538,348.80x = 807,231.60 × 222,837.60
  4. Step 4: Simplify right side
    538,348.80x = 179,881,552,388.16
  5. Step 5: Solve for x
    x = 179,881,552,388.16/538,348.80
  6. Step 6: Final answer
    x = 334,135.70

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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.