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Finding the Fourth Proportional to 696,411.27, 961,246.84 and 410,097.43

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Solution

The fourth proportional to 696,411.27, 961,246.84 and 410,097.43 is: 566,051.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,411.27 : 961,246.84 = 410,097.43 : x
  2. Step 2: Convert to fraction form
    696,411.27/961,246.84 = 410,097.43/x
  3. Step 3: Cross multiply
    696,411.27x = 961,246.84 × 410,097.43
  4. Step 4: Simplify right side
    696,411.27x = 394,204,858,679.62
  5. Step 5: Solve for x
    x = 394,204,858,679.62/696,411.27
  6. Step 6: Final answer
    x = 566,051.81

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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.