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Finding the Fourth Proportional to 470,694.66, 705,645.25 and 204,254.50

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Solution

The fourth proportional to 470,694.66, 705,645.25 and 204,254.50 is: 306,209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,694.66 : 705,645.25 = 204,254.50 : x
  2. Step 2: Convert to fraction form
    470,694.66/705,645.25 = 204,254.50/x
  3. Step 3: Cross multiply
    470,694.66x = 705,645.25 × 204,254.50
  4. Step 4: Simplify right side
    470,694.66x = 144,131,217,716.13
  5. Step 5: Solve for x
    x = 144,131,217,716.13/470,694.66
  6. Step 6: Final answer
    x = 306,209.59

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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.