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Finding the Fourth Proportional to 656,796.93, 985,237.01 and 277,647

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Solution

The fourth proportional to 656,796.93, 985,237.01 and 277,647 is: 416,488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,796.93 : 985,237.01 = 277,647 : x
  2. Step 2: Convert to fraction form
    656,796.93/985,237.01 = 277,647/x
  3. Step 3: Cross multiply
    656,796.93x = 985,237.01 × 277,647
  4. Step 4: Simplify right side
    656,796.93x = 273,548,098,727.24
  5. Step 5: Solve for x
    x = 273,548,098,727.24/656,796.93
  6. Step 6: Final answer
    x = 416,488.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.