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Finding the Fourth Proportional to 470,530.97, 705,399.60 and 204,090.78

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Solution

The fourth proportional to 470,530.97, 705,399.60 and 204,090.78 is: 305,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,530.97 : 705,399.60 = 204,090.78 : x
  2. Step 2: Convert to fraction form
    470,530.97/705,399.60 = 204,090.78/x
  3. Step 3: Cross multiply
    470,530.97x = 705,399.60 × 204,090.78
  4. Step 4: Simplify right side
    470,530.97x = 143,965,557,986.28
  5. Step 5: Solve for x
    x = 143,965,557,986.28/470,530.97
  6. Step 6: Final answer
    x = 305,964.04

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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.