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Finding the Fourth Proportional to 297,500.50, 410,509.38 and 174,998.44

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Solution

The fourth proportional to 297,500.50, 410,509.38 and 174,998.44 is: 241,473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,500.50 : 410,509.38 = 174,998.44 : x
  2. Step 2: Convert to fraction form
    297,500.50/410,509.38 = 174,998.44/x
  3. Step 3: Cross multiply
    297,500.50x = 410,509.38 × 174,998.44
  4. Step 4: Simplify right side
    297,500.50x = 71,838,501,105.37
  5. Step 5: Solve for x
    x = 71,838,501,105.37/297,500.50
  6. Step 6: Final answer
    x = 241,473.55

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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.