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Finding the Fourth Proportional to 443,543.95, 665,315.85 and 106,584.60

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Solution

The fourth proportional to 443,543.95, 665,315.85 and 106,584.60 is: 159,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,543.95 : 665,315.85 = 106,584.60 : x
  2. Step 2: Convert to fraction form
    443,543.95/665,315.85 = 106,584.60/x
  3. Step 3: Cross multiply
    443,543.95x = 665,315.85 × 106,584.60
  4. Step 4: Simplify right side
    443,543.95x = 70,912,423,212.99
  5. Step 5: Solve for x
    x = 70,912,423,212.99/443,543.95
  6. Step 6: Final answer
    x = 159,876.88

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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.