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Finding the Fourth Proportional to 358,221.50, 494,345.66 and 197,073.08

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Solution

The fourth proportional to 358,221.50, 494,345.66 and 197,073.08 is: 271,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,221.50 : 494,345.66 = 197,073.08 : x
  2. Step 2: Convert to fraction form
    358,221.50/494,345.66 = 197,073.08/x
  3. Step 3: Cross multiply
    358,221.50x = 494,345.66 × 197,073.08
  4. Step 4: Simplify right side
    358,221.50x = 97,422,223,529.38
  5. Step 5: Solve for x
    x = 97,422,223,529.38/358,221.50
  6. Step 6: Final answer
    x = 271,960.85

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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.