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Finding the Fourth Proportional to 664,815.67, 917,517.86 and 410,160.31

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Solution

The fourth proportional to 664,815.67, 917,517.86 and 410,160.31 is: 566,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,815.67 : 917,517.86 = 410,160.31 : x
  2. Step 2: Convert to fraction form
    664,815.67/917,517.86 = 410,160.31/x
  3. Step 3: Cross multiply
    664,815.67x = 917,517.86 × 410,160.31
  4. Step 4: Simplify right side
    664,815.67x = 376,329,407,837.34
  5. Step 5: Solve for x
    x = 376,329,407,837.34/664,815.67
  6. Step 6: Final answer
    x = 566,065.79

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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.