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Finding the Fourth Proportional to 470,757.68, 705,906.90 and 167,049

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Solution

The fourth proportional to 470,757.68, 705,906.90 and 167,049 is: 250,492.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,757.68 : 705,906.90 = 167,049 : x
  2. Step 2: Convert to fraction form
    470,757.68/705,906.90 = 167,049/x
  3. Step 3: Cross multiply
    470,757.68x = 705,906.90 × 167,049
  4. Step 4: Simplify right side
    470,757.68x = 117,921,041,738.10
  5. Step 5: Solve for x
    x = 117,921,041,738.10/470,757.68
  6. Step 6: Final answer
    x = 250,492.02

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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.