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Finding the Fourth Proportional to 295,275, 407,501.40 and 167,991.60

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Solution

The fourth proportional to 295,275, 407,501.40 and 167,991.60 is: 231,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,275 : 407,501.40 = 167,991.60 : x
  2. Step 2: Convert to fraction form
    295,275/407,501.40 = 167,991.60/x
  3. Step 3: Cross multiply
    295,275x = 407,501.40 × 167,991.60
  4. Step 4: Simplify right side
    295,275x = 68,456,812,188.24
  5. Step 5: Solve for x
    x = 68,456,812,188.24/295,275
  6. Step 6: Final answer
    x = 231,840.87

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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.