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Finding the Fourth Proportional to 470,538.24, 705,410.48 and 204,098.08

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Solution

The fourth proportional to 470,538.24, 705,410.48 and 204,098.08 is: 305,974.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,538.24 : 705,410.48 = 204,098.08 : x
  2. Step 2: Convert to fraction form
    470,538.24/705,410.48 = 204,098.08/x
  3. Step 3: Cross multiply
    470,538.24x = 705,410.48 × 204,098.08
  4. Step 4: Simplify right side
    470,538.24x = 143,972,924,579.88
  5. Step 5: Solve for x
    x = 143,972,924,579.88/470,538.24
  6. Step 6: Final answer
    x = 305,974.97

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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.