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Finding the Fourth Proportional to 264,356.64, 364,954.32 and 203,794.56

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Solution

The fourth proportional to 264,356.64, 364,954.32 and 203,794.56 is: 281,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,356.64 : 364,954.32 = 203,794.56 : x
  2. Step 2: Convert to fraction form
    264,356.64/364,954.32 = 203,794.56/x
  3. Step 3: Cross multiply
    264,356.64x = 364,954.32 × 203,794.56
  4. Step 4: Simplify right side
    264,356.64x = 74,375,705,064.50
  5. Step 5: Solve for x
    x = 74,375,705,064.50/264,356.64
  6. Step 6: Final answer
    x = 281,346.08

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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.