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Finding the Fourth Proportional to 681,222.60, 940,016.61 and 419,536.50

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Solution

The fourth proportional to 681,222.60, 940,016.61 and 419,536.50 is: 578,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,222.60 : 940,016.61 = 419,536.50 : x
  2. Step 2: Convert to fraction form
    681,222.60/940,016.61 = 419,536.50/x
  3. Step 3: Cross multiply
    681,222.60x = 940,016.61 × 419,536.50
  4. Step 4: Simplify right side
    681,222.60x = 394,371,278,501.27
  5. Step 5: Solve for x
    x = 394,371,278,501.27/681,222.60
  6. Step 6: Final answer
    x = 578,916.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.