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Finding the Fourth Proportional to 295,634.71, 407,976.29 and 168,310.30

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Solution

The fourth proportional to 295,634.71, 407,976.29 and 168,310.30 is: 232,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,634.71 : 407,976.29 = 168,310.30 : x
  2. Step 2: Convert to fraction form
    295,634.71/407,976.29 = 168,310.30/x
  3. Step 3: Cross multiply
    295,634.71x = 407,976.29 × 168,310.30
  4. Step 4: Simplify right side
    295,634.71x = 68,666,611,762.79
  5. Step 5: Solve for x
    x = 68,666,611,762.79/295,634.71
  6. Step 6: Final answer
    x = 232,268.44

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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.