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Finding the Fourth Proportional to 471,357.32, 650,471.90 and 256,497.33

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Solution

The fourth proportional to 471,357.32, 650,471.90 and 256,497.33 is: 353,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,357.32 : 650,471.90 = 256,497.33 : x
  2. Step 2: Convert to fraction form
    471,357.32/650,471.90 = 256,497.33/x
  3. Step 3: Cross multiply
    471,357.32x = 650,471.90 × 256,497.33
  4. Step 4: Simplify right side
    471,357.32x = 166,844,305,590.03
  5. Step 5: Solve for x
    x = 166,844,305,590.03/471,357.32
  6. Step 6: Final answer
    x = 353,965.66

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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.