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Finding the Fourth Proportional to 978,208.20, 1,467,312.30 and 820,744.20

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Solution

The fourth proportional to 978,208.20, 1,467,312.30 and 820,744.20 is: 1,231,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,208.20 : 1,467,312.30 = 820,744.20 : x
  2. Step 2: Convert to fraction form
    978,208.20/1,467,312.30 = 820,744.20/x
  3. Step 3: Cross multiply
    978,208.20x = 1,467,312.30 × 820,744.20
  4. Step 4: Simplify right side
    978,208.20x = 1,204,288,059,813.66
  5. Step 5: Solve for x
    x = 1,204,288,059,813.66/978,208.20
  6. Step 6: Final answer
    x = 1,231,116.30

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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.