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Finding the Fourth Proportional to 526,122.56, 725,871.48 and 299,607.68

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Solution

The fourth proportional to 526,122.56, 725,871.48 and 299,607.68 is: 413,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,122.56 : 725,871.48 = 299,607.68 : x
  2. Step 2: Convert to fraction form
    526,122.56/725,871.48 = 299,607.68/x
  3. Step 3: Cross multiply
    526,122.56x = 725,871.48 × 299,607.68
  4. Step 4: Simplify right side
    526,122.56x = 217,476,670,100.97
  5. Step 5: Solve for x
    x = 217,476,670,100.97/526,122.56
  6. Step 6: Final answer
    x = 413,357.43

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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.