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Finding the Fourth Proportional to 331,476.64, 497,202.50 and 197,468.22

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Solution

The fourth proportional to 331,476.64, 497,202.50 and 197,468.22 is: 296,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,476.64 : 497,202.50 = 197,468.22 : x
  2. Step 2: Convert to fraction form
    331,476.64/497,202.50 = 197,468.22/x
  3. Step 3: Cross multiply
    331,476.64x = 497,202.50 × 197,468.22
  4. Step 4: Simplify right side
    331,476.64x = 98,181,692,654.55
  5. Step 5: Solve for x
    x = 98,181,692,654.55/331,476.64
  6. Step 6: Final answer
    x = 296,194.91

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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.