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Finding the Fourth Proportional to 331,027.76, 495,914.92 and 195,686.63

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Solution

The fourth proportional to 331,027.76, 495,914.92 and 195,686.63 is: 293,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,027.76 : 495,914.92 = 195,686.63 : x
  2. Step 2: Convert to fraction form
    331,027.76/495,914.92 = 195,686.63/x
  3. Step 3: Cross multiply
    331,027.76x = 495,914.92 × 195,686.63
  4. Step 4: Simplify right side
    331,027.76x = 97,043,919,461.52
  5. Step 5: Solve for x
    x = 97,043,919,461.52/331,027.76
  6. Step 6: Final answer
    x = 293,159.46

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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.