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Finding the Fourth Proportional to 678,736.80, 1,017,230.40 and 412,214.40

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Solution

The fourth proportional to 678,736.80, 1,017,230.40 and 412,214.40 is: 617,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,736.80 : 1,017,230.40 = 412,214.40 : x
  2. Step 2: Convert to fraction form
    678,736.80/1,017,230.40 = 412,214.40/x
  3. Step 3: Cross multiply
    678,736.80x = 1,017,230.40 × 412,214.40
  4. Step 4: Simplify right side
    678,736.80x = 419,317,018,997.76
  5. Step 5: Solve for x
    x = 419,317,018,997.76/678,736.80
  6. Step 6: Final answer
    x = 617,790.31

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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.