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Finding the Fourth Proportional to 217,796.68, 328,311.03 and 198,877.96

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Solution

The fourth proportional to 217,796.68, 328,311.03 and 198,877.96 is: 299,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,796.68 : 328,311.03 = 198,877.96 : x
  2. Step 2: Convert to fraction form
    217,796.68/328,311.03 = 198,877.96/x
  3. Step 3: Cross multiply
    217,796.68x = 328,311.03 × 198,877.96
  4. Step 4: Simplify right side
    217,796.68x = 65,293,826,897.51
  5. Step 5: Solve for x
    x = 65,293,826,897.51/217,796.68
  6. Step 6: Final answer
    x = 299,792.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.