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Finding the Fourth Proportional to 352,897, 486,997.86 and 193,921

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Solution

The fourth proportional to 352,897, 486,997.86 and 193,921 is: 267,610.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,897 : 486,997.86 = 193,921 : x
  2. Step 2: Convert to fraction form
    352,897/486,997.86 = 193,921/x
  3. Step 3: Cross multiply
    352,897x = 486,997.86 × 193,921
  4. Step 4: Simplify right side
    352,897x = 94,439,112,009.06
  5. Step 5: Solve for x
    x = 94,439,112,009.06/352,897
  6. Step 6: Final answer
    x = 267,610.98

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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.