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Finding the Fourth Proportional to 505,911.83, 698,167.49 and 276,478.82

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Solution

The fourth proportional to 505,911.83, 698,167.49 and 276,478.82 is: 381,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,911.83 : 698,167.49 = 276,478.82 : x
  2. Step 2: Convert to fraction form
    505,911.83/698,167.49 = 276,478.82/x
  3. Step 3: Cross multiply
    505,911.83x = 698,167.49 × 276,478.82
  4. Step 4: Simplify right side
    505,911.83x = 193,028,521,542.46
  5. Step 5: Solve for x
    x = 193,028,521,542.46/505,911.83
  6. Step 6: Final answer
    x = 381,545.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.