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Finding the Fourth Proportional to 616,920.36, 851,099.56 and 401,982

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Solution

The fourth proportional to 616,920.36, 851,099.56 and 401,982 is: 554,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,920.36 : 851,099.56 = 401,982 : x
  2. Step 2: Convert to fraction form
    616,920.36/851,099.56 = 401,982/x
  3. Step 3: Cross multiply
    616,920.36x = 851,099.56 × 401,982
  4. Step 4: Simplify right side
    616,920.36x = 342,126,703,327.92
  5. Step 5: Solve for x
    x = 342,126,703,327.92/616,920.36
  6. Step 6: Final answer
    x = 554,571.91

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