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Finding the Fourth Proportional to 358,092, 494,171.06 and 196,949.70

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Solution

The fourth proportional to 358,092, 494,171.06 and 196,949.70 is: 271,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,092 : 494,171.06 = 196,949.70 : x
  2. Step 2: Convert to fraction form
    358,092/494,171.06 = 196,949.70/x
  3. Step 3: Cross multiply
    358,092x = 494,171.06 × 196,949.70
  4. Step 4: Simplify right side
    358,092x = 97,326,841,030.93
  5. Step 5: Solve for x
    x = 97,326,841,030.93/358,092
  6. Step 6: Final answer
    x = 271,792.84

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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.