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Finding the Fourth Proportional to 2,978,204.80, 4,462,382.40 and 1,713,827.20

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Solution

The fourth proportional to 2,978,204.80, 4,462,382.40 and 1,713,827.20 is: 2,567,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978,204.80 : 4,462,382.40 = 1,713,827.20 : x
  2. Step 2: Convert to fraction form
    2,978,204.80/4,462,382.40 = 1,713,827.20/x
  3. Step 3: Cross multiply
    2,978,204.80x = 4,462,382.40 × 1,713,827.20
  4. Step 4: Simplify right side
    2,978,204.80x = 7,647,752,333,921.28
  5. Step 5: Solve for x
    x = 7,647,752,333,921.28/2,978,204.80
  6. Step 6: Final answer
    x = 2,567,906.79

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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.