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Finding the Fourth Proportional to 415,521.56, 622,648.10 and 246,709.46

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Solution

The fourth proportional to 415,521.56, 622,648.10 and 246,709.46 is: 369,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,521.56 : 622,648.10 = 246,709.46 : x
  2. Step 2: Convert to fraction form
    415,521.56/622,648.10 = 246,709.46/x
  3. Step 3: Cross multiply
    415,521.56x = 622,648.10 × 246,709.46
  4. Step 4: Simplify right side
    415,521.56x = 153,613,174,024.56
  5. Step 5: Solve for x
    x = 153,613,174,024.56/415,521.56
  6. Step 6: Final answer
    x = 369,687.62

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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.