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Finding the Fourth Proportional to 640,813.92, 961,211.68 and 191,524.80

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Solution

The fourth proportional to 640,813.92, 961,211.68 and 191,524.80 is: 287,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,813.92 : 961,211.68 = 191,524.80 : x
  2. Step 2: Convert to fraction form
    640,813.92/961,211.68 = 191,524.80/x
  3. Step 3: Cross multiply
    640,813.92x = 961,211.68 × 191,524.80
  4. Step 4: Simplify right side
    640,813.92x = 184,095,874,769.66
  5. Step 5: Solve for x
    x = 184,095,874,769.66/640,813.92
  6. Step 6: Final answer
    x = 287,284.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.