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Finding the Fourth Proportional to 412,472.49, 569,086.68 and 259,663.22

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Solution

The fourth proportional to 412,472.49, 569,086.68 and 259,663.22 is: 358,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,472.49 : 569,086.68 = 259,663.22 : x
  2. Step 2: Convert to fraction form
    412,472.49/569,086.68 = 259,663.22/x
  3. Step 3: Cross multiply
    412,472.49x = 569,086.68 × 259,663.22
  4. Step 4: Simplify right side
    412,472.49x = 147,770,879,787.91
  5. Step 5: Solve for x
    x = 147,770,879,787.91/412,472.49
  6. Step 6: Final answer
    x = 358,256.33

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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.