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Finding the Fourth Proportional to 394,354.71, 544,209.48 and 224,604.63

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Solution

The fourth proportional to 394,354.71, 544,209.48 and 224,604.63 is: 309,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,354.71 : 544,209.48 = 224,604.63 : x
  2. Step 2: Convert to fraction form
    394,354.71/544,209.48 = 224,604.63/x
  3. Step 3: Cross multiply
    394,354.71x = 544,209.48 × 224,604.63
  4. Step 4: Simplify right side
    394,354.71x = 122,231,968,897.89
  5. Step 5: Solve for x
    x = 122,231,968,897.89/394,354.71
  6. Step 6: Final answer
    x = 309,954.38

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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.