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Finding the Fourth Proportional to 696,449.76, 961,299.98 and 410,135.94

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Solution

The fourth proportional to 696,449.76, 961,299.98 and 410,135.94 is: 566,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,449.76 : 961,299.98 = 410,135.94 : x
  2. Step 2: Convert to fraction form
    696,449.76/961,299.98 = 410,135.94/x
  3. Step 3: Cross multiply
    696,449.76x = 961,299.98 × 410,135.94
  4. Step 4: Simplify right side
    696,449.76x = 394,263,670,919.28
  5. Step 5: Solve for x
    x = 394,263,670,919.28/696,449.76
  6. Step 6: Final answer
    x = 566,104.97

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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.