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Finding the Fourth Proportional to 603,758.64, 905,801.30 and 204,399.46

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Solution

The fourth proportional to 603,758.64, 905,801.30 and 204,399.46 is: 306,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,758.64 : 905,801.30 = 204,399.46 : x
  2. Step 2: Convert to fraction form
    603,758.64/905,801.30 = 204,399.46/x
  3. Step 3: Cross multiply
    603,758.64x = 905,801.30 × 204,399.46
  4. Step 4: Simplify right side
    603,758.64x = 185,145,296,587.30
  5. Step 5: Solve for x
    x = 185,145,296,587.30/603,758.64
  6. Step 6: Final answer
    x = 306,654.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.