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Finding the Fourth Proportional to 353,543.83, 487,906.54 and 208,355.73

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Solution

The fourth proportional to 353,543.83, 487,906.54 and 208,355.73 is: 287,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,543.83 : 487,906.54 = 208,355.73 : x
  2. Step 2: Convert to fraction form
    353,543.83/487,906.54 = 208,355.73/x
  3. Step 3: Cross multiply
    353,543.83x = 487,906.54 × 208,355.73
  4. Step 4: Simplify right side
    353,543.83x = 101,658,126,446.98
  5. Step 5: Solve for x
    x = 101,658,126,446.98/353,543.83
  6. Step 6: Final answer
    x = 287,540.38

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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.