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Finding the Fourth Proportional to 311,323.20, 466,984.80 and 100,982.40

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Solution

The fourth proportional to 311,323.20, 466,984.80 and 100,982.40 is: 151,473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,323.20 : 466,984.80 = 100,982.40 : x
  2. Step 2: Convert to fraction form
    311,323.20/466,984.80 = 100,982.40/x
  3. Step 3: Cross multiply
    311,323.20x = 466,984.80 × 100,982.40
  4. Step 4: Simplify right side
    311,323.20x = 47,157,245,867.52
  5. Step 5: Solve for x
    x = 47,157,245,867.52/311,323.20
  6. Step 6: Final answer
    x = 151,473.60

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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.