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Finding the Fourth Proportional to 523,202.56, 721,997.76 and 296,860.48

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Solution

The fourth proportional to 523,202.56, 721,997.76 and 296,860.48 is: 409,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,202.56 : 721,997.76 = 296,860.48 : x
  2. Step 2: Convert to fraction form
    523,202.56/721,997.76 = 296,860.48/x
  3. Step 3: Cross multiply
    523,202.56x = 721,997.76 × 296,860.48
  4. Step 4: Simplify right side
    523,202.56x = 214,332,601,592.53
  5. Step 5: Solve for x
    x = 214,332,601,592.53/523,202.56
  6. Step 6: Final answer
    x = 409,655.11

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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.