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Finding the Fourth Proportional to 311,541.10, 467,311.65 and 101,200.30

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Solution

The fourth proportional to 311,541.10, 467,311.65 and 101,200.30 is: 151,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541.10 : 467,311.65 = 101,200.30 : x
  2. Step 2: Convert to fraction form
    311,541.10/467,311.65 = 101,200.30/x
  3. Step 3: Cross multiply
    311,541.10x = 467,311.65 × 101,200.30
  4. Step 4: Simplify right side
    311,541.10x = 47,292,079,173.50
  5. Step 5: Solve for x
    x = 47,292,079,173.50/311,541.10
  6. Step 6: Final answer
    x = 151,800.45

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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.