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Finding the Fourth Proportional to 277,858.56, 416,286.72 and 171,056.64

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Solution

The fourth proportional to 277,858.56, 416,286.72 and 171,056.64 is: 256,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,858.56 : 416,286.72 = 171,056.64 : x
  2. Step 2: Convert to fraction form
    277,858.56/416,286.72 = 171,056.64/x
  3. Step 3: Cross multiply
    277,858.56x = 416,286.72 × 171,056.64
  4. Step 4: Simplify right side
    277,858.56x = 71,208,607,599.82
  5. Step 5: Solve for x
    x = 71,208,607,599.82/277,858.56
  6. Step 6: Final answer
    x = 256,276.46

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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.