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Finding the Fourth Proportional to 587,395.24, 809,896.26 and 496,591

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Solution

The fourth proportional to 587,395.24, 809,896.26 and 496,591 is: 684,696.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,395.24 : 809,896.26 = 496,591 : x
  2. Step 2: Convert to fraction form
    587,395.24/809,896.26 = 496,591/x
  3. Step 3: Cross multiply
    587,395.24x = 809,896.26 × 496,591
  4. Step 4: Simplify right side
    587,395.24x = 402,187,193,649.66
  5. Step 5: Solve for x
    x = 402,187,193,649.66/587,395.24
  6. Step 6: Final answer
    x = 684,696.04

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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.