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Finding the Fourth Proportional to 310,859.56, 466,755.90 and 177,889.96

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Solution

The fourth proportional to 310,859.56, 466,755.90 and 177,889.96 is: 267,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,859.56 : 466,755.90 = 177,889.96 : x
  2. Step 2: Convert to fraction form
    310,859.56/466,755.90 = 177,889.96/x
  3. Step 3: Cross multiply
    310,859.56x = 466,755.90 × 177,889.96
  4. Step 4: Simplify right side
    310,859.56x = 83,031,188,380.76
  5. Step 5: Solve for x
    x = 83,031,188,380.76/310,859.56
  6. Step 6: Final answer
    x = 267,101.93

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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.