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Finding the Fourth Proportional to 304,244.64, 419,729.04 and 203,675.04

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Solution

The fourth proportional to 304,244.64, 419,729.04 and 203,675.04 is: 280,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,244.64 : 419,729.04 = 203,675.04 : x
  2. Step 2: Convert to fraction form
    304,244.64/419,729.04 = 203,675.04/x
  3. Step 3: Cross multiply
    304,244.64x = 419,729.04 × 203,675.04
  4. Step 4: Simplify right side
    304,244.64x = 85,488,329,011.16
  5. Step 5: Solve for x
    x = 85,488,329,011.16/304,244.64
  6. Step 6: Final answer
    x = 280,985.49

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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.