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Finding the Fourth Proportional to 566,902.49, 782,268.66 and 349,076.25

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Solution

The fourth proportional to 566,902.49, 782,268.66 and 349,076.25 is: 481,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,902.49 : 782,268.66 = 349,076.25 : x
  2. Step 2: Convert to fraction form
    566,902.49/782,268.66 = 349,076.25/x
  3. Step 3: Cross multiply
    566,902.49x = 782,268.66 × 349,076.25
  4. Step 4: Simplify right side
    566,902.49x = 273,071,410,325.33
  5. Step 5: Solve for x
    x = 273,071,410,325.33/566,902.49
  6. Step 6: Final answer
    x = 481,690.27

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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.