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Finding the Fourth Proportional to 3,984,032.25, 5,976,070.25 and 992,216.25

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Solution

The fourth proportional to 3,984,032.25, 5,976,070.25 and 992,216.25 is: 1,488,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984,032.25 : 5,976,070.25 = 992,216.25 : x
  2. Step 2: Convert to fraction form
    3,984,032.25/5,976,070.25 = 992,216.25/x
  3. Step 3: Cross multiply
    3,984,032.25x = 5,976,070.25 × 992,216.25
  4. Step 4: Simplify right side
    3,984,032.25x = 5,929,554,008,230.48
  5. Step 5: Solve for x
    x = 5,929,554,008,230.48/3,984,032.25
  6. Step 6: Final answer
    x = 1,488,329.82

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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.