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Finding the Fourth Proportional to 358,227.69, 494,348.74 and 197,073.10

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Solution

The fourth proportional to 358,227.69, 494,348.74 and 197,073.10 is: 271,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,227.69 : 494,348.74 = 197,073.10 : x
  2. Step 2: Convert to fraction form
    358,227.69/494,348.74 = 197,073.10/x
  3. Step 3: Cross multiply
    358,227.69x = 494,348.74 × 197,073.10
  4. Step 4: Simplify right side
    358,227.69x = 97,422,838,672.89
  5. Step 5: Solve for x
    x = 97,422,838,672.89/358,227.69
  6. Step 6: Final answer
    x = 271,957.87

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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.