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Finding the Fourth Proportional to 411,149.05, 616,648.11 and 186,455.46

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Solution

The fourth proportional to 411,149.05, 616,648.11 and 186,455.46 is: 279,648.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,149.05 : 616,648.11 = 186,455.46 : x
  2. Step 2: Convert to fraction form
    411,149.05/616,648.11 = 186,455.46/x
  3. Step 3: Cross multiply
    411,149.05x = 616,648.11 × 186,455.46
  4. Step 4: Simplify right side
    411,149.05x = 114,977,407,008.18
  5. Step 5: Solve for x
    x = 114,977,407,008.18/411,149.05
  6. Step 6: Final answer
    x = 279,648.97

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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.