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Finding the Fourth Proportional to 471,361.82, 650,478.10 and 256,501.84

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Solution

The fourth proportional to 471,361.82, 650,478.10 and 256,501.84 is: 353,971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,361.82 : 650,478.10 = 256,501.84 : x
  2. Step 2: Convert to fraction form
    471,361.82/650,478.10 = 256,501.84/x
  3. Step 3: Cross multiply
    471,361.82x = 650,478.10 × 256,501.84
  4. Step 4: Simplify right side
    471,361.82x = 166,848,829,529.70
  5. Step 5: Solve for x
    x = 166,848,829,529.70/471,361.82
  6. Step 6: Final answer
    x = 353,971.88

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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.