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Finding the Fourth Proportional to 295,906.53, 443,971.53 and 177,660.30

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Solution

The fourth proportional to 295,906.53, 443,971.53 and 177,660.30 is: 266,557.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,906.53 : 443,971.53 = 177,660.30 : x
  2. Step 2: Convert to fraction form
    295,906.53/443,971.53 = 177,660.30/x
  3. Step 3: Cross multiply
    295,906.53x = 443,971.53 × 177,660.30
  4. Step 4: Simplify right side
    295,906.53x = 78,876,115,211.26
  5. Step 5: Solve for x
    x = 78,876,115,211.26/295,906.53
  6. Step 6: Final answer
    x = 266,557.53

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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.