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Finding the Fourth Proportional to 696,896.29, 961,600.30 and 410,473.41

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Solution

The fourth proportional to 696,896.29, 961,600.30 and 410,473.41 is: 566,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,896.29 : 961,600.30 = 410,473.41 : x
  2. Step 2: Convert to fraction form
    696,896.29/961,600.30 = 410,473.41/x
  3. Step 3: Cross multiply
    696,896.29x = 961,600.30 × 410,473.41
  4. Step 4: Simplify right side
    696,896.29x = 394,711,354,198.02
  5. Step 5: Solve for x
    x = 394,711,354,198.02/696,896.29
  6. Step 6: Final answer
    x = 566,384.64

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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.