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Finding the Fourth Proportional to 310,254.92, 428,191.38 and 189,370.34

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Solution

The fourth proportional to 310,254.92, 428,191.38 and 189,370.34 is: 261,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,254.92 : 428,191.38 = 189,370.34 : x
  2. Step 2: Convert to fraction form
    310,254.92/428,191.38 = 189,370.34/x
  3. Step 3: Cross multiply
    310,254.92x = 428,191.38 × 189,370.34
  4. Step 4: Simplify right side
    310,254.92x = 81,086,747,215.67
  5. Step 5: Solve for x
    x = 81,086,747,215.67/310,254.92
  6. Step 6: Final answer
    x = 261,355.23

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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.