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Finding the Fourth Proportional to 301,226.81, 415,693.19 and 167,090.81

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Solution

The fourth proportional to 301,226.81, 415,693.19 and 167,090.81 is: 230,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,226.81 : 415,693.19 = 167,090.81 : x
  2. Step 2: Convert to fraction form
    301,226.81/415,693.19 = 167,090.81/x
  3. Step 3: Cross multiply
    301,226.81x = 415,693.19 × 167,090.81
  4. Step 4: Simplify right side
    301,226.81x = 69,458,510,167.85
  5. Step 5: Solve for x
    x = 69,458,510,167.85/301,226.81
  6. Step 6: Final answer
    x = 230,585.42

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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.