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Finding the Fourth Proportional to 231,523.70, 347,285.55 and 65,311.70

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Solution

The fourth proportional to 231,523.70, 347,285.55 and 65,311.70 is: 97,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,523.70 : 347,285.55 = 65,311.70 : x
  2. Step 2: Convert to fraction form
    231,523.70/347,285.55 = 65,311.70/x
  3. Step 3: Cross multiply
    231,523.70x = 347,285.55 × 65,311.70
  4. Step 4: Simplify right side
    231,523.70x = 22,681,809,655.94
  5. Step 5: Solve for x
    x = 22,681,809,655.94/231,523.70
  6. Step 6: Final answer
    x = 97,967.55

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Similar ratio
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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.