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Finding the Fourth Proportional to 305,041.68, 420,965.91 and 167,228.28

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Solution

The fourth proportional to 305,041.68, 420,965.91 and 167,228.28 is: 230,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,041.68 : 420,965.91 = 167,228.28 : x
  2. Step 2: Convert to fraction form
    305,041.68/420,965.91 = 167,228.28/x
  3. Step 3: Cross multiply
    305,041.68x = 420,965.91 × 167,228.28
  4. Step 4: Simplify right side
    305,041.68x = 70,397,405,067.93
  5. Step 5: Solve for x
    x = 70,397,405,067.93/305,041.68
  6. Step 6: Final answer
    x = 230,779.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.