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Finding the Fourth Proportional to 538,232.48, 807,724.08 and 222,692

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Solution

The fourth proportional to 538,232.48, 807,724.08 and 222,692 is: 334,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,232.48 : 807,724.08 = 222,692 : x
  2. Step 2: Convert to fraction form
    538,232.48/807,724.08 = 222,692/x
  3. Step 3: Cross multiply
    538,232.48x = 807,724.08 × 222,692
  4. Step 4: Simplify right side
    538,232.48x = 179,873,690,823.36
  5. Step 5: Solve for x
    x = 179,873,690,823.36/538,232.48
  6. Step 6: Final answer
    x = 334,193.30

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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.