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Finding the Fourth Proportional to 296,534.56, 409,216.96 and 160,568.64

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Solution

The fourth proportional to 296,534.56, 409,216.96 and 160,568.64 is: 221,584.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,534.56 : 409,216.96 = 160,568.64 : x
  2. Step 2: Convert to fraction form
    296,534.56/409,216.96 = 160,568.64/x
  3. Step 3: Cross multiply
    296,534.56x = 409,216.96 × 160,568.64
  4. Step 4: Simplify right side
    296,534.56x = 65,707,410,732.13
  5. Step 5: Solve for x
    x = 65,707,410,732.13/296,534.56
  6. Step 6: Final answer
    x = 221,584.33

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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.