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Finding the Fourth Proportional to 696,894.92, 961,598.41 and 410,472.03

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Solution

The fourth proportional to 696,894.92, 961,598.41 and 410,472.03 is: 566,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,894.92 : 961,598.41 = 410,472.03 : x
  2. Step 2: Convert to fraction form
    696,894.92/961,598.41 = 410,472.03/x
  3. Step 3: Cross multiply
    696,894.92x = 961,598.41 × 410,472.03
  4. Step 4: Simplify right side
    696,894.92x = 394,709,250,371.29
  5. Step 5: Solve for x
    x = 394,709,250,371.29/696,894.92
  6. Step 6: Final answer
    x = 566,382.74

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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.