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Finding the Fourth Proportional to 413,648.12, 570,896.12 and 252,596.54

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Solution

The fourth proportional to 413,648.12, 570,896.12 and 252,596.54 is: 348,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,648.12 : 570,896.12 = 252,596.54 : x
  2. Step 2: Convert to fraction form
    413,648.12/570,896.12 = 252,596.54/x
  3. Step 3: Cross multiply
    413,648.12x = 570,896.12 × 252,596.54
  4. Step 4: Simplify right side
    413,648.12x = 144,206,384,611.43
  5. Step 5: Solve for x
    x = 144,206,384,611.43/413,648.12
  6. Step 6: Final answer
    x = 348,620.91

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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.