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Finding the Fourth Proportional to 282,435.26, 389,647.97 and 180,434.27

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Solution

The fourth proportional to 282,435.26, 389,647.97 and 180,434.27 is: 248,927.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,435.26 : 389,647.97 = 180,434.27 : x
  2. Step 2: Convert to fraction form
    282,435.26/389,647.97 = 180,434.27/x
  3. Step 3: Cross multiply
    282,435.26x = 389,647.97 × 180,434.27
  4. Step 4: Simplify right side
    282,435.26x = 70,305,844,173.52
  5. Step 5: Solve for x
    x = 70,305,844,173.52/282,435.26
  6. Step 6: Final answer
    x = 248,927.30

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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.