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Finding the Fourth Proportional to 500,800.32, 691,117.92 and 274,455.36

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Solution

The fourth proportional to 500,800.32, 691,117.92 and 274,455.36 is: 378,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,800.32 : 691,117.92 = 274,455.36 : x
  2. Step 2: Convert to fraction form
    500,800.32/691,117.92 = 274,455.36/x
  3. Step 3: Cross multiply
    500,800.32x = 691,117.92 × 274,455.36
  4. Step 4: Simplify right side
    500,800.32x = 189,681,017,536.05
  5. Step 5: Solve for x
    x = 189,681,017,536.05/500,800.32
  6. Step 6: Final answer
    x = 378,755.78

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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.