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Finding the Fourth Proportional to 358,113.78, 494,197.47 and 196,969.14

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Solution

The fourth proportional to 358,113.78, 494,197.47 and 196,969.14 is: 271,817.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,113.78 : 494,197.47 = 196,969.14 : x
  2. Step 2: Convert to fraction form
    358,113.78/494,197.47 = 196,969.14/x
  3. Step 3: Cross multiply
    358,113.78x = 494,197.47 × 196,969.14
  4. Step 4: Simplify right side
    358,113.78x = 97,341,650,656.08
  5. Step 5: Solve for x
    x = 97,341,650,656.08/358,113.78
  6. Step 6: Final answer
    x = 271,817.66

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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.