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Finding the Fourth Proportional to 344,686.26, 475,667.02 and 193,784.34

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Solution

The fourth proportional to 344,686.26, 475,667.02 and 193,784.34 is: 267,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,686.26 : 475,667.02 = 193,784.34 : x
  2. Step 2: Convert to fraction form
    344,686.26/475,667.02 = 193,784.34/x
  3. Step 3: Cross multiply
    344,686.26x = 475,667.02 × 193,784.34
  4. Step 4: Simplify right side
    344,686.26x = 92,176,819,530.47
  5. Step 5: Solve for x
    x = 92,176,819,530.47/344,686.26
  6. Step 6: Final answer
    x = 267,422.38

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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.