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Finding the Fourth Proportional to 467,840.94, 701,180.01 and 214,853.06

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Solution

The fourth proportional to 467,840.94, 701,180.01 and 214,853.06 is: 322,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,840.94 : 701,180.01 = 214,853.06 : x
  2. Step 2: Convert to fraction form
    467,840.94/701,180.01 = 214,853.06/x
  3. Step 3: Cross multiply
    467,840.94x = 701,180.01 × 214,853.06
  4. Step 4: Simplify right side
    467,840.94x = 150,650,667,253.43
  5. Step 5: Solve for x
    x = 150,650,667,253.43/467,840.94
  6. Step 6: Final answer
    x = 322,012.58

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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.