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Finding the Fourth Proportional to 525,576.26, 725,295.93 and 299,221.76

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Solution

The fourth proportional to 525,576.26, 725,295.93 and 299,221.76 is: 412,926.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,576.26 : 725,295.93 = 299,221.76 : x
  2. Step 2: Convert to fraction form
    525,576.26/725,295.93 = 299,221.76/x
  3. Step 3: Cross multiply
    525,576.26x = 725,295.93 × 299,221.76
  4. Step 4: Simplify right side
    525,576.26x = 217,024,324,695.44
  5. Step 5: Solve for x
    x = 217,024,324,695.44/525,576.26
  6. Step 6: Final answer
    x = 412,926.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.