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Finding the Fourth Proportional to 364,997.52, 547,309.36 and 194,316.24

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Solution

The fourth proportional to 364,997.52, 547,309.36 and 194,316.24 is: 291,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,997.52 : 547,309.36 = 194,316.24 : x
  2. Step 2: Convert to fraction form
    364,997.52/547,309.36 = 194,316.24/x
  3. Step 3: Cross multiply
    364,997.52x = 547,309.36 × 194,316.24
  4. Step 4: Simplify right side
    364,997.52x = 106,351,096,952.01
  5. Step 5: Solve for x
    x = 106,351,096,952.01/364,997.52
  6. Step 6: Final answer
    x = 291,374.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.