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Finding the Fourth Proportional to 1,214,943.10, 1,822,414.65 and 978,747.10

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Solution

The fourth proportional to 1,214,943.10, 1,822,414.65 and 978,747.10 is: 1,468,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,943.10 : 1,822,414.65 = 978,747.10 : x
  2. Step 2: Convert to fraction form
    1,214,943.10/1,822,414.65 = 978,747.10/x
  3. Step 3: Cross multiply
    1,214,943.10x = 1,822,414.65 × 978,747.10
  4. Step 4: Simplify right side
    1,214,943.10x = 1,783,683,053,685.02
  5. Step 5: Solve for x
    x = 1,783,683,053,685.02/1,214,943.10
  6. Step 6: Final answer
    x = 1,468,120.65

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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.