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Finding the Fourth Proportional to 471,050.35, 650,052.54 and 256,191.97

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Solution

The fourth proportional to 471,050.35, 650,052.54 and 256,191.97 is: 353,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,050.35 : 650,052.54 = 256,191.97 : x
  2. Step 2: Convert to fraction form
    471,050.35/650,052.54 = 256,191.97/x
  3. Step 3: Cross multiply
    471,050.35x = 650,052.54 × 256,191.97
  4. Step 4: Simplify right side
    471,050.35x = 166,538,240,826.10
  5. Step 5: Solve for x
    x = 166,538,240,826.10/471,050.35
  6. Step 6: Final answer
    x = 353,546.58

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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.