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Finding the Fourth Proportional to 263,398.40, 396,019.20 and 257,868.80

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Solution

The fourth proportional to 263,398.40, 396,019.20 and 257,868.80 is: 387,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,398.40 : 396,019.20 = 257,868.80 : x
  2. Step 2: Convert to fraction form
    263,398.40/396,019.20 = 257,868.80/x
  3. Step 3: Cross multiply
    263,398.40x = 396,019.20 × 257,868.80
  4. Step 4: Simplify right side
    263,398.40x = 102,120,995,880.96
  5. Step 5: Solve for x
    x = 102,120,995,880.96/263,398.40
  6. Step 6: Final answer
    x = 387,705.45

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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.