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Finding the Fourth Proportional to 471,147.19, 650,180.19 and 256,288.09

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Solution

The fourth proportional to 471,147.19, 650,180.19 and 256,288.09 is: 353,675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,147.19 : 650,180.19 = 256,288.09 : x
  2. Step 2: Convert to fraction form
    471,147.19/650,180.19 = 256,288.09/x
  3. Step 3: Cross multiply
    471,147.19x = 650,180.19 × 256,288.09
  4. Step 4: Simplify right side
    471,147.19x = 166,633,439,050.94
  5. Step 5: Solve for x
    x = 166,633,439,050.94/471,147.19
  6. Step 6: Final answer
    x = 353,675.97

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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.