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Finding the Fourth Proportional to 411,105.95, 616,250.68 and 197,829.71

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Solution

The fourth proportional to 411,105.95, 616,250.68 and 197,829.71 is: 296,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,105.95 : 616,250.68 = 197,829.71 : x
  2. Step 2: Convert to fraction form
    411,105.95/616,250.68 = 197,829.71/x
  3. Step 3: Cross multiply
    411,105.95x = 616,250.68 × 197,829.71
  4. Step 4: Simplify right side
    411,105.95x = 121,912,693,311.70
  5. Step 5: Solve for x
    x = 121,912,693,311.70/411,105.95
  6. Step 6: Final answer
    x = 296,548.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.