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Finding the Fourth Proportional to 344,686.50, 475,667.37 and 193,784.58

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Solution

The fourth proportional to 344,686.50, 475,667.37 and 193,784.58 is: 267,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,686.50 : 475,667.37 = 193,784.58 : x
  2. Step 2: Convert to fraction form
    344,686.50/475,667.37 = 193,784.58/x
  3. Step 3: Cross multiply
    344,686.50x = 475,667.37 × 193,784.58
  4. Step 4: Simplify right side
    344,686.50x = 92,177,001,515.15
  5. Step 5: Solve for x
    x = 92,177,001,515.15/344,686.50
  6. Step 6: Final answer
    x = 267,422.72

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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.