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Finding the Fourth Proportional to 311,200.65, 466,800.98 and 153,408.60

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Solution

The fourth proportional to 311,200.65, 466,800.98 and 153,408.60 is: 230,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,200.65 : 466,800.98 = 153,408.60 : x
  2. Step 2: Convert to fraction form
    311,200.65/466,800.98 = 153,408.60/x
  3. Step 3: Cross multiply
    311,200.65x = 466,800.98 × 153,408.60
  4. Step 4: Simplify right side
    311,200.65x = 71,611,284,053.39
  5. Step 5: Solve for x
    x = 71,611,284,053.39/311,200.65
  6. Step 6: Final answer
    x = 230,112.90

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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.