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Finding the Fourth Proportional to 259,295.20, 388,942.80 and 217,823.20

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Solution

The fourth proportional to 259,295.20, 388,942.80 and 217,823.20 is: 326,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,295.20 : 388,942.80 = 217,823.20 : x
  2. Step 2: Convert to fraction form
    259,295.20/388,942.80 = 217,823.20/x
  3. Step 3: Cross multiply
    259,295.20x = 388,942.80 × 217,823.20
  4. Step 4: Simplify right side
    259,295.20x = 84,720,765,312.96
  5. Step 5: Solve for x
    x = 84,720,765,312.96/259,295.20
  6. Step 6: Final answer
    x = 326,734.80

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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.