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Finding the Fourth Proportional to 411,103.45, 616,246.94 and 197,827.21

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Solution

The fourth proportional to 411,103.45, 616,246.94 and 197,827.21 is: 296,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,103.45 : 616,246.94 = 197,827.21 : x
  2. Step 2: Convert to fraction form
    411,103.45/616,246.94 = 197,827.21/x
  3. Step 3: Cross multiply
    411,103.45x = 616,246.94 × 197,827.21
  4. Step 4: Simplify right side
    411,103.45x = 121,910,411,822.10
  5. Step 5: Solve for x
    x = 121,910,411,822.10/411,103.45
  6. Step 6: Final answer
    x = 296,544.37

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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.