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Finding the Fourth Proportional to 678,672.30, 1,017,133.65 and 412,149.90

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Solution

The fourth proportional to 678,672.30, 1,017,133.65 and 412,149.90 is: 617,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,672.30 : 1,017,133.65 = 412,149.90 : x
  2. Step 2: Convert to fraction form
    678,672.30/1,017,133.65 = 412,149.90/x
  3. Step 3: Cross multiply
    678,672.30x = 1,017,133.65 × 412,149.90
  4. Step 4: Simplify right side
    678,672.30x = 419,211,532,134.14
  5. Step 5: Solve for x
    x = 419,211,532,134.14/678,672.30
  6. Step 6: Final answer
    x = 617,693.59

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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.