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Finding the Fourth Proportional to 296,761.38, 409,717.62 and 206,088.36

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Solution

The fourth proportional to 296,761.38, 409,717.62 and 206,088.36 is: 284,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,761.38 : 409,717.62 = 206,088.36 : x
  2. Step 2: Convert to fraction form
    296,761.38/409,717.62 = 206,088.36/x
  3. Step 3: Cross multiply
    296,761.38x = 409,717.62 × 206,088.36
  4. Step 4: Simplify right side
    296,761.38x = 84,438,032,368.90
  5. Step 5: Solve for x
    x = 84,438,032,368.90/296,761.38
  6. Step 6: Final answer
    x = 284,531.74

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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.