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Finding the Fourth Proportional to 465,819.60, 698,556.60 and 185,278.80

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Solution

The fourth proportional to 465,819.60, 698,556.60 and 185,278.80 is: 277,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,819.60 : 698,556.60 = 185,278.80 : x
  2. Step 2: Convert to fraction form
    465,819.60/698,556.60 = 185,278.80/x
  3. Step 3: Cross multiply
    465,819.60x = 698,556.60 × 185,278.80
  4. Step 4: Simplify right side
    465,819.60x = 129,427,728,580.08
  5. Step 5: Solve for x
    x = 129,427,728,580.08/465,819.60
  6. Step 6: Final answer
    x = 277,849.47

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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.