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Finding the Fourth Proportional to 394,398, 544,269.24 and 224,730.54

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Solution

The fourth proportional to 394,398, 544,269.24 and 224,730.54 is: 310,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,398 : 544,269.24 = 224,730.54 : x
  2. Step 2: Convert to fraction form
    394,398/544,269.24 = 224,730.54/x
  3. Step 3: Cross multiply
    394,398x = 544,269.24 × 224,730.54
  4. Step 4: Simplify right side
    394,398x = 122,313,920,210.59
  5. Step 5: Solve for x
    x = 122,313,920,210.59/394,398
  6. Step 6: Final answer
    x = 310,128.15

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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.