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Finding the Fourth Proportional to 470,793.42, 649,692.20 and 266,882.80

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Solution

The fourth proportional to 470,793.42, 649,692.20 and 266,882.80 is: 368,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,793.42 : 649,692.20 = 266,882.80 : x
  2. Step 2: Convert to fraction form
    470,793.42/649,692.20 = 266,882.80/x
  3. Step 3: Cross multiply
    470,793.42x = 649,692.20 × 266,882.80
  4. Step 4: Simplify right side
    470,793.42x = 173,391,673,474.16
  5. Step 5: Solve for x
    x = 173,391,673,474.16/470,793.42
  6. Step 6: Final answer
    x = 368,296.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.