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Finding the Fourth Proportional to 358,194.59, 494,298.13 and 197,049.54

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Solution

The fourth proportional to 358,194.59, 494,298.13 and 197,049.54 is: 271,922.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,194.59 : 494,298.13 = 197,049.54 : x
  2. Step 2: Convert to fraction form
    358,194.59/494,298.13 = 197,049.54/x
  3. Step 3: Cross multiply
    358,194.59x = 494,298.13 × 197,049.54
  4. Step 4: Simplify right side
    358,194.59x = 97,401,219,139.36
  5. Step 5: Solve for x
    x = 97,401,219,139.36/358,194.59
  6. Step 6: Final answer
    x = 271,922.64

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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.