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Finding the Fourth Proportional to 470,633.54, 705,944.10 and 115,650.68

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Solution

The fourth proportional to 470,633.54, 705,944.10 and 115,650.68 is: 173,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,633.54 : 705,944.10 = 115,650.68 : x
  2. Step 2: Convert to fraction form
    470,633.54/705,944.10 = 115,650.68/x
  3. Step 3: Cross multiply
    470,633.54x = 705,944.10 × 115,650.68
  4. Step 4: Simplify right side
    470,633.54x = 81,642,915,206.99
  5. Step 5: Solve for x
    x = 81,642,915,206.99/470,633.54
  6. Step 6: Final answer
    x = 173,474.49

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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.