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Finding the Fourth Proportional to 401,736.31, 602,639.85 and 149,019.50

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Solution

The fourth proportional to 401,736.31, 602,639.85 and 149,019.50 is: 223,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,736.31 : 602,639.85 = 149,019.50 : x
  2. Step 2: Convert to fraction form
    401,736.31/602,639.85 = 149,019.50/x
  3. Step 3: Cross multiply
    401,736.31x = 602,639.85 × 149,019.50
  4. Step 4: Simplify right side
    401,736.31x = 89,805,086,964.41
  5. Step 5: Solve for x
    x = 89,805,086,964.41/401,736.31
  6. Step 6: Final answer
    x = 223,542.37

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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.