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Finding the Fourth Proportional to 358,047.14, 494,095.20 and 196,902.20

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Solution

The fourth proportional to 358,047.14, 494,095.20 and 196,902.20 is: 271,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,047.14 : 494,095.20 = 196,902.20 : x
  2. Step 2: Convert to fraction form
    358,047.14/494,095.20 = 196,902.20/x
  3. Step 3: Cross multiply
    358,047.14x = 494,095.20 × 196,902.20
  4. Step 4: Simplify right side
    358,047.14x = 97,288,429,418.96
  5. Step 5: Solve for x
    x = 97,288,429,418.96/358,047.14
  6. Step 6: Final answer
    x = 271,719.61

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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.