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Finding the Fourth Proportional to 470,353.92, 649,086.72 and 269,149.44

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Solution

The fourth proportional to 470,353.92, 649,086.72 and 269,149.44 is: 371,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,353.92 : 649,086.72 = 269,149.44 : x
  2. Step 2: Convert to fraction form
    470,353.92/649,086.72 = 269,149.44/x
  3. Step 3: Cross multiply
    470,353.92x = 649,086.72 × 269,149.44
  4. Step 4: Simplify right side
    470,353.92x = 174,701,327,199.44
  5. Step 5: Solve for x
    x = 174,701,327,199.44/470,353.92
  6. Step 6: Final answer
    x = 371,425.26

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1.5x scale

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.