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Finding the Fourth Proportional to 311,223.12, 466,736.76 and 100,812.24

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Solution

The fourth proportional to 311,223.12, 466,736.76 and 100,812.24 is: 151,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,223.12 : 466,736.76 = 100,812.24 : x
  2. Step 2: Convert to fraction form
    311,223.12/466,736.76 = 100,812.24/x
  3. Step 3: Cross multiply
    311,223.12x = 466,736.76 × 100,812.24
  4. Step 4: Simplify right side
    311,223.12x = 47,052,778,265.94
  5. Step 5: Solve for x
    x = 47,052,778,265.94/311,223.12
  6. Step 6: Final answer
    x = 151,186.64

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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.