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Finding the Fourth Proportional to 295,902, 408,344.76 and 161,766

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Solution

The fourth proportional to 295,902, 408,344.76 and 161,766 is: 223,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,902 : 408,344.76 = 161,766 : x
  2. Step 2: Convert to fraction form
    295,902/408,344.76 = 161,766/x
  3. Step 3: Cross multiply
    295,902x = 408,344.76 × 161,766
  4. Step 4: Simplify right side
    295,902x = 66,056,298,446.16
  5. Step 5: Solve for x
    x = 66,056,298,446.16/295,902
  6. Step 6: Final answer
    x = 223,237.08

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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.