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Finding the Fourth Proportional to 345,514.64, 517,163.88 and 185,190.56

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Solution

The fourth proportional to 345,514.64, 517,163.88 and 185,190.56 is: 277,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,514.64 : 517,163.88 = 185,190.56 : x
  2. Step 2: Convert to fraction form
    345,514.64/517,163.88 = 185,190.56/x
  3. Step 3: Cross multiply
    345,514.64x = 517,163.88 × 185,190.56
  4. Step 4: Simplify right side
    345,514.64x = 95,773,868,548.97
  5. Step 5: Solve for x
    x = 95,773,868,548.97/345,514.64
  6. Step 6: Final answer
    x = 277,191.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.