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Finding the Fourth Proportional to 311,500.96, 467,200.30 and 86,876.64

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Solution

The fourth proportional to 311,500.96, 467,200.30 and 86,876.64 is: 130,300.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,500.96 : 467,200.30 = 86,876.64 : x
  2. Step 2: Convert to fraction form
    311,500.96/467,200.30 = 86,876.64/x
  3. Step 3: Cross multiply
    311,500.96x = 467,200.30 × 86,876.64
  4. Step 4: Simplify right side
    311,500.96x = 40,588,792,270.99
  5. Step 5: Solve for x
    x = 40,588,792,270.99/311,500.96
  6. Step 6: Final answer
    x = 130,300.70

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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.