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Finding the Fourth Proportional to 471,556.91, 650,748.60 and 256,698.59

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Solution

The fourth proportional to 471,556.91, 650,748.60 and 256,698.59 is: 354,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,556.91 : 650,748.60 = 256,698.59 : x
  2. Step 2: Convert to fraction form
    471,556.91/650,748.60 = 256,698.59/x
  3. Step 3: Cross multiply
    471,556.91x = 650,748.60 × 256,698.59
  4. Step 4: Simplify right side
    471,556.91x = 167,046,244,810.73
  5. Step 5: Solve for x
    x = 167,046,244,810.73/471,556.91
  6. Step 6: Final answer
    x = 354,244.09

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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.