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Finding the Fourth Proportional to 331,505.80, 497,258.70 and 205,534.60

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Solution

The fourth proportional to 331,505.80, 497,258.70 and 205,534.60 is: 308,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,505.80 : 497,258.70 = 205,534.60 : x
  2. Step 2: Convert to fraction form
    331,505.80/497,258.70 = 205,534.60/x
  3. Step 3: Cross multiply
    331,505.80x = 497,258.70 × 205,534.60
  4. Step 4: Simplify right side
    331,505.80x = 102,203,868,001.02
  5. Step 5: Solve for x
    x = 102,203,868,001.02/331,505.80
  6. Step 6: Final answer
    x = 308,301.90

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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.