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Finding the Fourth Proportional to 410,902.50, 616,353.75 and 111,383.08

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Solution

The fourth proportional to 410,902.50, 616,353.75 and 111,383.08 is: 167,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,902.50 : 616,353.75 = 111,383.08 : x
  2. Step 2: Convert to fraction form
    410,902.50/616,353.75 = 111,383.08/x
  3. Step 3: Cross multiply
    410,902.50x = 616,353.75 × 111,383.08
  4. Step 4: Simplify right side
    410,902.50x = 68,651,377,503.67
  5. Step 5: Solve for x
    x = 68,651,377,503.67/410,902.50
  6. Step 6: Final answer
    x = 167,074.62

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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.