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Finding the Fourth Proportional to 296,398, 408,991.04 and 169,066

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Solution

The fourth proportional to 296,398, 408,991.04 and 169,066 is: 233,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,398 : 408,991.04 = 169,066 : x
  2. Step 2: Convert to fraction form
    296,398/408,991.04 = 169,066/x
  3. Step 3: Cross multiply
    296,398x = 408,991.04 × 169,066
  4. Step 4: Simplify right side
    296,398x = 69,146,479,168.64
  5. Step 5: Solve for x
    x = 69,146,479,168.64/296,398
  6. Step 6: Final answer
    x = 233,289.29

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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.