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Finding the Fourth Proportional to 696,949, 961,641.30 and 410,364.52

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Solution

The fourth proportional to 696,949, 961,641.30 and 410,364.52 is: 566,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,949 : 961,641.30 = 410,364.52 : x
  2. Step 2: Convert to fraction form
    696,949/961,641.30 = 410,364.52/x
  3. Step 3: Cross multiply
    696,949x = 961,641.30 × 410,364.52
  4. Step 4: Simplify right side
    696,949x = 394,623,470,486.68
  5. Step 5: Solve for x
    x = 394,623,470,486.68/696,949
  6. Step 6: Final answer
    x = 566,215.71

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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.