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Finding the Fourth Proportional to 2,019,978.80, 3,029,968.20 and 822,760.33

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Solution

The fourth proportional to 2,019,978.80, 3,029,968.20 and 822,760.33 is: 1,234,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019,978.80 : 3,029,968.20 = 822,760.33 : x
  2. Step 2: Convert to fraction form
    2,019,978.80/3,029,968.20 = 822,760.33/x
  3. Step 3: Cross multiply
    2,019,978.80x = 3,029,968.20 × 822,760.33
  4. Step 4: Simplify right side
    2,019,978.80x = 2,492,937,636,121.51
  5. Step 5: Solve for x
    x = 2,492,937,636,121.51/2,019,978.80
  6. Step 6: Final answer
    x = 1,234,140.50

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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.