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Finding the Fourth Proportional to 422,593.56, 634,095.36 and 185,905.49

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Solution

The fourth proportional to 422,593.56, 634,095.36 and 185,905.49 is: 278,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,593.56 : 634,095.36 = 185,905.49 : x
  2. Step 2: Convert to fraction form
    422,593.56/634,095.36 = 185,905.49/x
  3. Step 3: Cross multiply
    422,593.56x = 634,095.36 × 185,905.49
  4. Step 4: Simplify right side
    422,593.56x = 117,881,805,437.05
  5. Step 5: Solve for x
    x = 117,881,805,437.05/422,593.56
  6. Step 6: Final answer
    x = 278,948.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.