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Finding the Fourth Proportional to 301,600.80, 416,207.70 and 167,464.80

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Solution

The fourth proportional to 301,600.80, 416,207.70 and 167,464.80 is: 231,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,600.80 : 416,207.70 = 167,464.80 : x
  2. Step 2: Convert to fraction form
    301,600.80/416,207.70 = 167,464.80/x
  3. Step 3: Cross multiply
    301,600.80x = 416,207.70 × 167,464.80
  4. Step 4: Simplify right side
    301,600.80x = 69,700,139,238.96
  5. Step 5: Solve for x
    x = 69,700,139,238.96/301,600.80
  6. Step 6: Final answer
    x = 231,100.64

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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.