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Finding the Fourth Proportional to 256,942.80, 385,414.20 and 225,838.80

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Solution

The fourth proportional to 256,942.80, 385,414.20 and 225,838.80 is: 338,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,942.80 : 385,414.20 = 225,838.80 : x
  2. Step 2: Convert to fraction form
    256,942.80/385,414.20 = 225,838.80/x
  3. Step 3: Cross multiply
    256,942.80x = 385,414.20 × 225,838.80
  4. Step 4: Simplify right side
    256,942.80x = 87,041,480,430.96
  5. Step 5: Solve for x
    x = 87,041,480,430.96/256,942.80
  6. Step 6: Final answer
    x = 338,758.20

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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.