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Finding the Fourth Proportional to 296,415.27, 409,288.95 and 273,745.98

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Solution

The fourth proportional to 296,415.27, 409,288.95 and 273,745.98 is: 377,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,415.27 : 409,288.95 = 273,745.98 : x
  2. Step 2: Convert to fraction form
    296,415.27/409,288.95 = 273,745.98/x
  3. Step 3: Cross multiply
    296,415.27x = 409,288.95 × 273,745.98
  4. Step 4: Simplify right side
    296,415.27x = 112,041,204,720.92
  5. Step 5: Solve for x
    x = 112,041,204,720.92/296,415.27
  6. Step 6: Final answer
    x = 377,987.29

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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.