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Finding the Fourth Proportional to 363,091.84, 500,862.22 and 217,860.05

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Solution

The fourth proportional to 363,091.84, 500,862.22 and 217,860.05 is: 300,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,091.84 : 500,862.22 = 217,860.05 : x
  2. Step 2: Convert to fraction form
    363,091.84/500,862.22 = 217,860.05/x
  3. Step 3: Cross multiply
    363,091.84x = 500,862.22 × 217,860.05
  4. Step 4: Simplify right side
    363,091.84x = 109,117,868,999.82
  5. Step 5: Solve for x
    x = 109,117,868,999.82/363,091.84
  6. Step 6: Final answer
    x = 300,524.16

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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.