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Finding the Fourth Proportional to 234,477.24, 323,400 and 201,827.22

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Solution

The fourth proportional to 234,477.24, 323,400 and 201,827.22 is: 278,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,477.24 : 323,400 = 201,827.22 : x
  2. Step 2: Convert to fraction form
    234,477.24/323,400 = 201,827.22/x
  3. Step 3: Cross multiply
    234,477.24x = 323,400 × 201,827.22
  4. Step 4: Simplify right side
    234,477.24x = 65,270,922,948
  5. Step 5: Solve for x
    x = 65,270,922,948/234,477.24
  6. Step 6: Final answer
    x = 278,367.84

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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.