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Finding the Fourth Proportional to 465,520.38, 698,287.05 and 133,096.38

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Solution

The fourth proportional to 465,520.38, 698,287.05 and 133,096.38 is: 199,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,520.38 : 698,287.05 = 133,096.38 : x
  2. Step 2: Convert to fraction form
    465,520.38/698,287.05 = 133,096.38/x
  3. Step 3: Cross multiply
    465,520.38x = 698,287.05 × 133,096.38
  4. Step 4: Simplify right side
    465,520.38x = 92,939,478,555.88
  5. Step 5: Solve for x
    x = 92,939,478,555.88/465,520.38
  6. Step 6: Final answer
    x = 199,646.42

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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.