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Finding the Fourth Proportional to 471,556.33, 650,747.81 and 256,698.02

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Solution

The fourth proportional to 471,556.33, 650,747.81 and 256,698.02 is: 354,243.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,556.33 : 650,747.81 = 256,698.02 : x
  2. Step 2: Convert to fraction form
    471,556.33/650,747.81 = 256,698.02/x
  3. Step 3: Cross multiply
    471,556.33x = 650,747.81 × 256,698.02
  4. Step 4: Simplify right side
    471,556.33x = 167,045,676,614.95
  5. Step 5: Solve for x
    x = 167,045,676,614.95/471,556.33
  6. Step 6: Final answer
    x = 354,243.31

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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.