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Finding the Fourth Proportional to 470,873.80, 706,295.07 and 204,634.57

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Solution

The fourth proportional to 470,873.80, 706,295.07 and 204,634.57 is: 306,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,873.80 : 706,295.07 = 204,634.57 : x
  2. Step 2: Convert to fraction form
    470,873.80/706,295.07 = 204,634.57/x
  3. Step 3: Cross multiply
    470,873.80x = 706,295.07 × 204,634.57
  4. Step 4: Simplify right side
    470,873.80x = 144,532,388,415.44
  5. Step 5: Solve for x
    x = 144,532,388,415.44/470,873.80
  6. Step 6: Final answer
    x = 306,945.06

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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.