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Finding the Fourth Proportional to 536,872.68, 740,824.10 and 322,021.48

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Solution

The fourth proportional to 536,872.68, 740,824.10 and 322,021.48 is: 444,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,872.68 : 740,824.10 = 322,021.48 : x
  2. Step 2: Convert to fraction form
    536,872.68/740,824.10 = 322,021.48/x
  3. Step 3: Cross multiply
    536,872.68x = 740,824.10 × 322,021.48
  4. Step 4: Simplify right side
    536,872.68x = 238,561,273,101.67
  5. Step 5: Solve for x
    x = 238,561,273,101.67/536,872.68
  6. Step 6: Final answer
    x = 444,353.53

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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.