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Finding the Fourth Proportional to 323,633.93, 446,629.95 and 180,395.01

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Solution

The fourth proportional to 323,633.93, 446,629.95 and 180,395.01 is: 248,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,633.93 : 446,629.95 = 180,395.01 : x
  2. Step 2: Convert to fraction form
    323,633.93/446,629.95 = 180,395.01/x
  3. Step 3: Cross multiply
    323,633.93x = 446,629.95 × 180,395.01
  4. Step 4: Simplify right side
    323,633.93x = 80,569,813,394.57
  5. Step 5: Solve for x
    x = 80,569,813,394.57/323,633.93
  6. Step 6: Final answer
    x = 248,953.54

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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.