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Finding the Fourth Proportional to 499,533.50, 749,103.01 and 199,958.24

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Solution

The fourth proportional to 499,533.50, 749,103.01 and 199,958.24 is: 299,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,533.50 : 749,103.01 = 199,958.24 : x
  2. Step 2: Convert to fraction form
    499,533.50/749,103.01 = 199,958.24/x
  3. Step 3: Cross multiply
    499,533.50x = 749,103.01 × 199,958.24
  4. Step 4: Simplify right side
    499,533.50x = 149,789,319,458.30
  5. Step 5: Solve for x
    x = 149,789,319,458.30/499,533.50
  6. Step 6: Final answer
    x = 299,858.41

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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.