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Finding the Fourth Proportional to 344,657.54, 475,670.13 and 193,754.54

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Solution

The fourth proportional to 344,657.54, 475,670.13 and 193,754.54 is: 267,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,657.54 : 475,670.13 = 193,754.54 : x
  2. Step 2: Convert to fraction form
    344,657.54/475,670.13 = 193,754.54/x
  3. Step 3: Cross multiply
    344,657.54x = 475,670.13 × 193,754.54
  4. Step 4: Simplify right side
    344,657.54x = 92,163,247,229.89
  5. Step 5: Solve for x
    x = 92,163,247,229.89/344,657.54
  6. Step 6: Final answer
    x = 267,405.28

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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.