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Finding the Fourth Proportional to 410,991.76, 616,487.64 and 115,503.76

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Solution

The fourth proportional to 410,991.76, 616,487.64 and 115,503.76 is: 173,255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,991.76 : 616,487.64 = 115,503.76 : x
  2. Step 2: Convert to fraction form
    410,991.76/616,487.64 = 115,503.76/x
  3. Step 3: Cross multiply
    410,991.76x = 616,487.64 × 115,503.76
  4. Step 4: Simplify right side
    410,991.76x = 71,206,640,413.53
  5. Step 5: Solve for x
    x = 71,206,640,413.53/410,991.76
  6. Step 6: Final answer
    x = 173,255.64

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1.5x scale

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.