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Finding the Fourth Proportional to 862,648.30, 1,293,000.45 and 413,584.30

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Solution

The fourth proportional to 862,648.30, 1,293,000.45 and 413,584.30 is: 619,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,648.30 : 1,293,000.45 = 413,584.30 : x
  2. Step 2: Convert to fraction form
    862,648.30/1,293,000.45 = 413,584.30/x
  3. Step 3: Cross multiply
    862,648.30x = 1,293,000.45 × 413,584.30
  4. Step 4: Simplify right side
    862,648.30x = 534,764,686,012.94
  5. Step 5: Solve for x
    x = 534,764,686,012.94/862,648.30
  6. Step 6: Final answer
    x = 619,910.44

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