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Finding the Fourth Proportional to 344,222.52, 475,022.84 and 193,319.52

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Solution

The fourth proportional to 344,222.52, 475,022.84 and 193,319.52 is: 266,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,222.52 : 475,022.84 = 193,319.52 : x
  2. Step 2: Convert to fraction form
    344,222.52/475,022.84 = 193,319.52/x
  3. Step 3: Cross multiply
    344,222.52x = 475,022.84 × 193,319.52
  4. Step 4: Simplify right side
    344,222.52x = 91,831,187,417.84
  5. Step 5: Solve for x
    x = 91,831,187,417.84/344,222.52
  6. Step 6: Final answer
    x = 266,778.56

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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.