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Finding the Fourth Proportional to 365,760.50, 548,142.60 and 205,912.67

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Solution

The fourth proportional to 365,760.50, 548,142.60 and 205,912.67 is: 308,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,760.50 : 548,142.60 = 205,912.67 : x
  2. Step 2: Convert to fraction form
    365,760.50/548,142.60 = 205,912.67/x
  3. Step 3: Cross multiply
    365,760.50x = 548,142.60 × 205,912.67
  4. Step 4: Simplify right side
    365,760.50x = 112,869,506,306.74
  5. Step 5: Solve for x
    x = 112,869,506,306.74/365,760.50
  6. Step 6: Final answer
    x = 308,588.56

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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.