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Finding the Fourth Proportional to 370,523.94, 511,323.38 and 200,758.06

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Solution

The fourth proportional to 370,523.94, 511,323.38 and 200,758.06 is: 277,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,523.94 : 511,323.38 = 200,758.06 : x
  2. Step 2: Convert to fraction form
    370,523.94/511,323.38 = 200,758.06/x
  3. Step 3: Cross multiply
    370,523.94x = 511,323.38 × 200,758.06
  4. Step 4: Simplify right side
    370,523.94x = 102,652,289,801.44
  5. Step 5: Solve for x
    x = 102,652,289,801.44/370,523.94
  6. Step 6: Final answer
    x = 277,046.31

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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.