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Finding the Fourth Proportional to 654,648.54, 902,902.03 and 448,039.14

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Solution

The fourth proportional to 654,648.54, 902,902.03 and 448,039.14 is: 617,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,648.54 : 902,902.03 = 448,039.14 : x
  2. Step 2: Convert to fraction form
    654,648.54/902,902.03 = 448,039.14/x
  3. Step 3: Cross multiply
    654,648.54x = 902,902.03 × 448,039.14
  4. Step 4: Simplify right side
    654,648.54x = 404,535,449,025.45
  5. Step 5: Solve for x
    x = 404,535,449,025.45/654,648.54
  6. Step 6: Final answer
    x = 617,942.95

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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.