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Finding the Fourth Proportional to 382,797.57, 528,260.94 and 221,661.24

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Solution

The fourth proportional to 382,797.57, 528,260.94 and 221,661.24 is: 305,892.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,797.57 : 528,260.94 = 221,661.24 : x
  2. Step 2: Convert to fraction form
    382,797.57/528,260.94 = 221,661.24/x
  3. Step 3: Cross multiply
    382,797.57x = 528,260.94 × 221,661.24
  4. Step 4: Simplify right side
    382,797.57x = 117,094,975,003.97
  5. Step 5: Solve for x
    x = 117,094,975,003.97/382,797.57
  6. Step 6: Final answer
    x = 305,892.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.