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Finding the Fourth Proportional to 306,089.40, 422,382.96 and 170,114.52

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Solution

The fourth proportional to 306,089.40, 422,382.96 and 170,114.52 is: 234,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,089.40 : 422,382.96 = 170,114.52 : x
  2. Step 2: Convert to fraction form
    306,089.40/422,382.96 = 170,114.52/x
  3. Step 3: Cross multiply
    306,089.40x = 422,382.96 × 170,114.52
  4. Step 4: Simplify right side
    306,089.40x = 71,853,474,496.58
  5. Step 5: Solve for x
    x = 71,853,474,496.58/306,089.40
  6. Step 6: Final answer
    x = 234,746.69

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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.