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Finding the Fourth Proportional to 301,666.46, 416,288.31 and 167,539.10

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Solution

The fourth proportional to 301,666.46, 416,288.31 and 167,539.10 is: 231,197.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,666.46 : 416,288.31 = 167,539.10 : x
  2. Step 2: Convert to fraction form
    301,666.46/416,288.31 = 167,539.10/x
  3. Step 3: Cross multiply
    301,666.46x = 416,288.31 × 167,539.10
  4. Step 4: Simplify right side
    301,666.46x = 69,744,568,797.92
  5. Step 5: Solve for x
    x = 69,744,568,797.92/301,666.46
  6. Step 6: Final answer
    x = 231,197.62

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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.