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Finding the Fourth Proportional to 461,134.27, 636,366.42 and 257,198.40

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Solution

The fourth proportional to 461,134.27, 636,366.42 and 257,198.40 is: 354,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,134.27 : 636,366.42 = 257,198.40 : x
  2. Step 2: Convert to fraction form
    461,134.27/636,366.42 = 257,198.40/x
  3. Step 3: Cross multiply
    461,134.27x = 636,366.42 × 257,198.40
  4. Step 4: Simplify right side
    461,134.27x = 163,672,425,037.73
  5. Step 5: Solve for x
    x = 163,672,425,037.73/461,134.27
  6. Step 6: Final answer
    x = 354,934.42

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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.