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Finding the Fourth Proportional to 696,852.60, 961,675.38 and 410,319.96

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Solution

The fourth proportional to 696,852.60, 961,675.38 and 410,319.96 is: 566,252.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,852.60 : 961,675.38 = 410,319.96 : x
  2. Step 2: Convert to fraction form
    696,852.60/961,675.38 = 410,319.96/x
  3. Step 3: Cross multiply
    696,852.60x = 961,675.38 × 410,319.96
  4. Step 4: Simplify right side
    696,852.60x = 394,594,603,454.59
  5. Step 5: Solve for x
    x = 394,594,603,454.59/696,852.60
  6. Step 6: Final answer
    x = 566,252.61

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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.