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Finding the Fourth Proportional to 682,187.84, 941,788.31 and 410,316.42

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Solution

The fourth proportional to 682,187.84, 941,788.31 and 410,316.42 is: 566,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,187.84 : 941,788.31 = 410,316.42 : x
  2. Step 2: Convert to fraction form
    682,187.84/941,788.31 = 410,316.42/x
  3. Step 3: Cross multiply
    682,187.84x = 941,788.31 × 410,316.42
  4. Step 4: Simplify right side
    682,187.84x = 386,431,205,705.47
  5. Step 5: Solve for x
    x = 386,431,205,705.47/682,187.84
  6. Step 6: Final answer
    x = 566,458.66

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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.