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Finding the Fourth Proportional to 358,115.78, 494,200.23 and 196,971.14

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Solution

The fourth proportional to 358,115.78, 494,200.23 and 196,971.14 is: 271,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,115.78 : 494,200.23 = 196,971.14 : x
  2. Step 2: Convert to fraction form
    358,115.78/494,200.23 = 196,971.14/x
  3. Step 3: Cross multiply
    358,115.78x = 494,200.23 × 196,971.14
  4. Step 4: Simplify right side
    358,115.78x = 97,343,182,691.36
  5. Step 5: Solve for x
    x = 97,343,182,691.36/358,115.78
  6. Step 6: Final answer
    x = 271,820.42

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1.5x scale

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.