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Finding the Fourth Proportional to 295,688, 408,049.44 and 161,552.96

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Solution

The fourth proportional to 295,688, 408,049.44 and 161,552.96 is: 222,943.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688 : 408,049.44 = 161,552.96 : x
  2. Step 2: Convert to fraction form
    295,688/408,049.44 = 161,552.96/x
  3. Step 3: Cross multiply
    295,688x = 408,049.44 × 161,552.96
  4. Step 4: Simplify right side
    295,688x = 65,921,594,858.34
  5. Step 5: Solve for x
    x = 65,921,594,858.34/295,688
  6. Step 6: Final answer
    x = 222,943.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.