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Finding the Fourth Proportional to 470,872.88, 706,753.20 and 171,642.68

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Solution

The fourth proportional to 470,872.88, 706,753.20 and 171,642.68 is: 257,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,872.88 : 706,753.20 = 171,642.68 : x
  2. Step 2: Convert to fraction form
    470,872.88/706,753.20 = 171,642.68/x
  3. Step 3: Cross multiply
    470,872.88x = 706,753.20 × 171,642.68
  4. Step 4: Simplify right side
    470,872.88x = 121,309,013,346.58
  5. Step 5: Solve for x
    x = 121,309,013,346.58/470,872.88
  6. Step 6: Final answer
    x = 257,625.82

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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.