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Finding the Fourth Proportional to 496,603.14, 685,264.92 and 278,761.92

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Solution

The fourth proportional to 496,603.14, 685,264.92 and 278,761.92 is: 384,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,603.14 : 685,264.92 = 278,761.92 : x
  2. Step 2: Convert to fraction form
    496,603.14/685,264.92 = 278,761.92/x
  3. Step 3: Cross multiply
    496,603.14x = 685,264.92 × 278,761.92
  4. Step 4: Simplify right side
    496,603.14x = 191,025,764,807.85
  5. Step 5: Solve for x
    x = 191,025,764,807.85/496,603.14
  6. Step 6: Final answer
    x = 384,664.83

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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.