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Finding the Fourth Proportional to 506,591.24, 760,148.82 and 222,481.52

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Solution

The fourth proportional to 506,591.24, 760,148.82 and 222,481.52 is: 333,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,591.24 : 760,148.82 = 222,481.52 : x
  2. Step 2: Convert to fraction form
    506,591.24/760,148.82 = 222,481.52/x
  3. Step 3: Cross multiply
    506,591.24x = 760,148.82 × 222,481.52
  4. Step 4: Simplify right side
    506,591.24x = 169,119,061,099.06
  5. Step 5: Solve for x
    x = 169,119,061,099.06/506,591.24
  6. Step 6: Final answer
    x = 333,837.32

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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.