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Finding the Fourth Proportional to 393,831.08, 543,415.20 and 221,722.28

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Solution

The fourth proportional to 393,831.08, 543,415.20 and 221,722.28 is: 305,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,831.08 : 543,415.20 = 221,722.28 : x
  2. Step 2: Convert to fraction form
    393,831.08/543,415.20 = 221,722.28/x
  3. Step 3: Cross multiply
    393,831.08x = 543,415.20 × 221,722.28
  4. Step 4: Simplify right side
    393,831.08x = 120,487,257,130.66
  5. Step 5: Solve for x
    x = 120,487,257,130.66/393,831.08
  6. Step 6: Final answer
    x = 305,936.39

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Why These Related Problems?

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