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Finding the Fourth Proportional to 365,710.56, 504,678 and 204,564.96

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Solution

The fourth proportional to 365,710.56, 504,678 and 204,564.96 is: 282,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,710.56 : 504,678 = 204,564.96 : x
  2. Step 2: Convert to fraction form
    365,710.56/504,678 = 204,564.96/x
  3. Step 3: Cross multiply
    365,710.56x = 504,678 × 204,564.96
  4. Step 4: Simplify right side
    365,710.56x = 103,239,434,882.88
  5. Step 5: Solve for x
    x = 103,239,434,882.88/365,710.56
  6. Step 6: Final answer
    x = 282,298.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.