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Finding the Fourth Proportional to 471,620.82, 650,848.44 and 256,772.67

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Solution

The fourth proportional to 471,620.82, 650,848.44 and 256,772.67 is: 354,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,620.82 : 650,848.44 = 256,772.67 : x
  2. Step 2: Convert to fraction form
    471,620.82/650,848.44 = 256,772.67/x
  3. Step 3: Cross multiply
    471,620.82x = 650,848.44 × 256,772.67
  4. Step 4: Simplify right side
    471,620.82x = 167,120,091,704.14
  5. Step 5: Solve for x
    x = 167,120,091,704.14/471,620.82
  6. Step 6: Final answer
    x = 354,352.66

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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.