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Finding the Fourth Proportional to 344,256, 475,097.52 and 193,353.12

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Solution

The fourth proportional to 344,256, 475,097.52 and 193,353.12 is: 266,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,256 : 475,097.52 = 193,353.12 : x
  2. Step 2: Convert to fraction form
    344,256/475,097.52 = 193,353.12/x
  3. Step 3: Cross multiply
    344,256x = 475,097.52 × 193,353.12
  4. Step 4: Simplify right side
    344,256x = 91,861,587,796.26
  5. Step 5: Solve for x
    x = 91,861,587,796.26/344,256
  6. Step 6: Final answer
    x = 266,840.92

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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.