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Finding the Fourth Proportional to 295,623.94, 407,961.04 and 161,487.94

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Solution

The fourth proportional to 295,623.94, 407,961.04 and 161,487.94 is: 222,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,623.94 : 407,961.04 = 161,487.94 : x
  2. Step 2: Convert to fraction form
    295,623.94/407,961.04 = 161,487.94/x
  3. Step 3: Cross multiply
    295,623.94x = 407,961.04 × 161,487.94
  4. Step 4: Simplify right side
    295,623.94x = 65,880,786,526.24
  5. Step 5: Solve for x
    x = 65,880,786,526.24/295,623.94
  6. Step 6: Final answer
    x = 222,853.36

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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.