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Finding the Fourth Proportional to 305,893.53, 422,145.04 and 209,299.98

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Solution

The fourth proportional to 305,893.53, 422,145.04 and 209,299.98 is: 288,842.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,893.53 : 422,145.04 = 209,299.98 : x
  2. Step 2: Convert to fraction form
    305,893.53/422,145.04 = 209,299.98/x
  3. Step 3: Cross multiply
    305,893.53x = 422,145.04 × 209,299.98
  4. Step 4: Simplify right side
    305,893.53x = 88,354,948,429.10
  5. Step 5: Solve for x
    x = 88,354,948,429.10/305,893.53
  6. Step 6: Final answer
    x = 288,842.16

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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.