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Finding the Fourth Proportional to 311,153.60, 466,730.40 and 100,812.80

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Solution

The fourth proportional to 311,153.60, 466,730.40 and 100,812.80 is: 151,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,153.60 : 466,730.40 = 100,812.80 : x
  2. Step 2: Convert to fraction form
    311,153.60/466,730.40 = 100,812.80/x
  3. Step 3: Cross multiply
    311,153.60x = 466,730.40 × 100,812.80
  4. Step 4: Simplify right side
    311,153.60x = 47,052,398,469.12
  5. Step 5: Solve for x
    x = 47,052,398,469.12/311,153.60
  6. Step 6: Final answer
    x = 151,219.20

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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.