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Finding the Fourth Proportional to 471,025.40, 650,019.82 and 256,170.20

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Solution

The fourth proportional to 471,025.40, 650,019.82 and 256,170.20 is: 353,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,025.40 : 650,019.82 = 256,170.20 : x
  2. Step 2: Convert to fraction form
    471,025.40/650,019.82 = 256,170.20/x
  3. Step 3: Cross multiply
    471,025.40x = 650,019.82 × 256,170.20
  4. Step 4: Simplify right side
    471,025.40x = 166,515,707,293.36
  5. Step 5: Solve for x
    x = 166,515,707,293.36/471,025.40
  6. Step 6: Final answer
    x = 353,517.47

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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.