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Finding the Fourth Proportional to 471,053.82, 650,047.92 and 256,189.26

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Solution

The fourth proportional to 471,053.82, 650,047.92 and 256,189.26 is: 353,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,053.82 : 650,047.92 = 256,189.26 : x
  2. Step 2: Convert to fraction form
    471,053.82/650,047.92 = 256,189.26/x
  3. Step 3: Cross multiply
    471,053.82x = 650,047.92 × 256,189.26
  4. Step 4: Simplify right side
    471,053.82x = 166,535,295,589.34
  5. Step 5: Solve for x
    x = 166,535,295,589.34/471,053.82
  6. Step 6: Final answer
    x = 353,537.72

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1.5x scale

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.