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Finding the Fourth Proportional to 342,011.30, 472,022.47 and 196,814.09

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Solution

The fourth proportional to 342,011.30, 472,022.47 and 196,814.09 is: 271,630.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,011.30 : 472,022.47 = 196,814.09 : x
  2. Step 2: Convert to fraction form
    342,011.30/472,022.47 = 196,814.09/x
  3. Step 3: Cross multiply
    342,011.30x = 472,022.47 × 196,814.09
  4. Step 4: Simplify right side
    342,011.30x = 92,900,674,318.68
  5. Step 5: Solve for x
    x = 92,900,674,318.68/342,011.30
  6. Step 6: Final answer
    x = 271,630.43

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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.