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Finding the Fourth Proportional to 525,705.06, 725,472.27 and 299,350.56

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Solution

The fourth proportional to 525,705.06, 725,472.27 and 299,350.56 is: 413,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,705.06 : 725,472.27 = 299,350.56 : x
  2. Step 2: Convert to fraction form
    525,705.06/725,472.27 = 299,350.56/x
  3. Step 3: Cross multiply
    525,705.06x = 725,472.27 × 299,350.56
  4. Step 4: Simplify right side
    525,705.06x = 217,170,530,288.97
  5. Step 5: Solve for x
    x = 217,170,530,288.97/525,705.06
  6. Step 6: Final answer
    x = 413,103.37

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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.