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Finding the Fourth Proportional to 470,842.20, 706,161.24 and 171,330.12

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Solution

The fourth proportional to 470,842.20, 706,161.24 and 171,330.12 is: 256,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,842.20 : 706,161.24 = 171,330.12 : x
  2. Step 2: Convert to fraction form
    470,842.20/706,161.24 = 171,330.12/x
  3. Step 3: Cross multiply
    470,842.20x = 706,161.24 × 171,330.12
  4. Step 4: Simplify right side
    470,842.20x = 120,986,689,988.55
  5. Step 5: Solve for x
    x = 120,986,689,988.55/470,842.20
  6. Step 6: Final answer
    x = 256,958.04

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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.