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Finding the Fourth Proportional to 298,239.12, 411,436.22 and 201,411.51

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Solution

The fourth proportional to 298,239.12, 411,436.22 and 201,411.51 is: 277,857.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,239.12 : 411,436.22 = 201,411.51 : x
  2. Step 2: Convert to fraction form
    298,239.12/411,436.22 = 201,411.51/x
  3. Step 3: Cross multiply
    298,239.12x = 411,436.22 × 201,411.51
  4. Step 4: Simplify right side
    298,239.12x = 82,867,989,331.83
  5. Step 5: Solve for x
    x = 82,867,989,331.83/298,239.12
  6. Step 6: Final answer
    x = 277,857.54

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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.