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Finding the Fourth Proportional to 471,410.64, 650,787.72 and 363,738.96

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Solution

The fourth proportional to 471,410.64, 650,787.72 and 363,738.96 is: 502,145.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,410.64 : 650,787.72 = 363,738.96 : x
  2. Step 2: Convert to fraction form
    471,410.64/650,787.72 = 363,738.96/x
  3. Step 3: Cross multiply
    471,410.64x = 650,787.72 × 363,738.96
  4. Step 4: Simplify right side
    471,410.64x = 236,716,848,453.57
  5. Step 5: Solve for x
    x = 236,716,848,453.57/471,410.64
  6. Step 6: Final answer
    x = 502,145.75

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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.