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Finding the Fourth Proportional to 978,488.20, 1,467,732.30 and 821,024.20

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Solution

The fourth proportional to 978,488.20, 1,467,732.30 and 821,024.20 is: 1,231,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,488.20 : 1,467,732.30 = 821,024.20 : x
  2. Step 2: Convert to fraction form
    978,488.20/1,467,732.30 = 821,024.20/x
  3. Step 3: Cross multiply
    978,488.20x = 1,467,732.30 × 821,024.20
  4. Step 4: Simplify right side
    978,488.20x = 1,205,043,737,421.66
  5. Step 5: Solve for x
    x = 1,205,043,737,421.66/978,488.20
  6. Step 6: Final answer
    x = 1,231,536.30

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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.