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Finding the Fourth Proportional to 394,772.64, 544,838.16 and 224,967.84

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Solution

The fourth proportional to 394,772.64, 544,838.16 and 224,967.84 is: 310,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,772.64 : 544,838.16 = 224,967.84 : x
  2. Step 2: Convert to fraction form
    394,772.64/544,838.16 = 224,967.84/x
  3. Step 3: Cross multiply
    394,772.64x = 544,838.16 × 224,967.84
  4. Step 4: Simplify right side
    394,772.64x = 122,571,064,004.77
  5. Step 5: Solve for x
    x = 122,571,064,004.77/394,772.64
  6. Step 6: Final answer
    x = 310,485.20

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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.