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Finding the Fourth Proportional to 2,810,641, 4,216,078.14 and 816,097

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Solution

The fourth proportional to 2,810,641, 4,216,078.14 and 816,097 is: 1,224,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810,641 : 4,216,078.14 = 816,097 : x
  2. Step 2: Convert to fraction form
    2,810,641/4,216,078.14 = 816,097/x
  3. Step 3: Cross multiply
    2,810,641x = 4,216,078.14 × 816,097
  4. Step 4: Simplify right side
    2,810,641x = 3,440,728,721,819.58
  5. Step 5: Solve for x
    x = 3,440,728,721,819.58/2,810,641
  6. Step 6: Final answer
    x = 1,224,179.37

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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.