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Finding the Fourth Proportional to 311,838.80, 430,404.30 and 197,044.56

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Solution

The fourth proportional to 311,838.80, 430,404.30 and 197,044.56 is: 271,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,838.80 : 430,404.30 = 197,044.56 : x
  2. Step 2: Convert to fraction form
    311,838.80/430,404.30 = 197,044.56/x
  3. Step 3: Cross multiply
    311,838.80x = 430,404.30 × 197,044.56
  4. Step 4: Simplify right side
    311,838.80x = 84,808,825,915.61
  5. Step 5: Solve for x
    x = 84,808,825,915.61/311,838.80
  6. Step 6: Final answer
    x = 271,963.68

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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.