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Finding the Fourth Proportional to 415,006.24, 622,703.76 and 204,529.36

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Solution

The fourth proportional to 415,006.24, 622,703.76 and 204,529.36 is: 306,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,006.24 : 622,703.76 = 204,529.36 : x
  2. Step 2: Convert to fraction form
    415,006.24/622,703.76 = 204,529.36/x
  3. Step 3: Cross multiply
    415,006.24x = 622,703.76 × 204,529.36
  4. Step 4: Simplify right side
    415,006.24x = 127,361,201,502.39
  5. Step 5: Solve for x
    x = 127,361,201,502.39/415,006.24
  6. Step 6: Final answer
    x = 306,889.85

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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.