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Finding the Fourth Proportional to 306,412.20, 422,838.72 and 170,442.36

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Solution

The fourth proportional to 306,412.20, 422,838.72 and 170,442.36 is: 235,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,412.20 : 422,838.72 = 170,442.36 : x
  2. Step 2: Convert to fraction form
    306,412.20/422,838.72 = 170,442.36/x
  3. Step 3: Cross multiply
    306,412.20x = 422,838.72 × 170,442.36
  4. Step 4: Simplify right side
    306,412.20x = 72,069,629,336.18
  5. Step 5: Solve for x
    x = 72,069,629,336.18/306,412.20
  6. Step 6: Final answer
    x = 235,204.83

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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.