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Finding the Fourth Proportional to 3,816,288.22, 5,724,403.17 and 976,395.82

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Solution

The fourth proportional to 3,816,288.22, 5,724,403.17 and 976,395.82 is: 1,464,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816,288.22 : 5,724,403.17 = 976,395.82 : x
  2. Step 2: Convert to fraction form
    3,816,288.22/5,724,403.17 = 976,395.82/x
  3. Step 3: Cross multiply
    3,816,288.22x = 5,724,403.17 × 976,395.82
  4. Step 4: Simplify right side
    3,816,288.22x = 5,589,283,309,210.26
  5. Step 5: Solve for x
    x = 5,589,283,309,210.26/3,816,288.22
  6. Step 6: Final answer
    x = 1,464,586.27

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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.