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Finding the Fourth Proportional to 356,077, 491,386.26 and 197,101

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Solution

The fourth proportional to 356,077, 491,386.26 and 197,101 is: 271,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,077 : 491,386.26 = 197,101 : x
  2. Step 2: Convert to fraction form
    356,077/491,386.26 = 197,101/x
  3. Step 3: Cross multiply
    356,077x = 491,386.26 × 197,101
  4. Step 4: Simplify right side
    356,077x = 96,852,723,232.26
  5. Step 5: Solve for x
    x = 96,852,723,232.26/356,077
  6. Step 6: Final answer
    x = 271,999.38

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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.