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Finding the Fourth Proportional to 230,825.20, 346,237.80 and 217,922.80

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Solution

The fourth proportional to 230,825.20, 346,237.80 and 217,922.80 is: 326,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,825.20 : 346,237.80 = 217,922.80 : x
  2. Step 2: Convert to fraction form
    230,825.20/346,237.80 = 217,922.80/x
  3. Step 3: Cross multiply
    230,825.20x = 346,237.80 × 217,922.80
  4. Step 4: Simplify right side
    230,825.20x = 75,453,110,841.84
  5. Step 5: Solve for x
    x = 75,453,110,841.84/230,825.20
  6. Step 6: Final answer
    x = 326,884.20

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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.