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Finding the Fourth Proportional to 358,324.86, 494,490.06 and 197,175.90

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Solution

The fourth proportional to 358,324.86, 494,490.06 and 197,175.90 is: 272,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,324.86 : 494,490.06 = 197,175.90 : x
  2. Step 2: Convert to fraction form
    358,324.86/494,490.06 = 197,175.90/x
  3. Step 3: Cross multiply
    358,324.86x = 494,490.06 × 197,175.90
  4. Step 4: Simplify right side
    358,324.86x = 97,501,522,621.55
  5. Step 5: Solve for x
    x = 97,501,522,621.55/358,324.86
  6. Step 6: Final answer
    x = 272,103.71

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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.