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Finding the Fourth Proportional to 311,200.20, 466,800.30 and 193,102.20

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Solution

The fourth proportional to 311,200.20, 466,800.30 and 193,102.20 is: 289,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,200.20 : 466,800.30 = 193,102.20 : x
  2. Step 2: Convert to fraction form
    311,200.20/466,800.30 = 193,102.20/x
  3. Step 3: Cross multiply
    311,200.20x = 466,800.30 × 193,102.20
  4. Step 4: Simplify right side
    311,200.20x = 90,140,164,890.66
  5. Step 5: Solve for x
    x = 90,140,164,890.66/311,200.20
  6. Step 6: Final answer
    x = 289,653.30

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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.