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Finding the Fourth Proportional to 296,000.88, 408,472.92 and 161,862

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Solution

The fourth proportional to 296,000.88, 408,472.92 and 161,862 is: 223,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,000.88 : 408,472.92 = 161,862 : x
  2. Step 2: Convert to fraction form
    296,000.88/408,472.92 = 161,862/x
  3. Step 3: Cross multiply
    296,000.88x = 408,472.92 × 161,862
  4. Step 4: Simplify right side
    296,000.88x = 66,116,243,777.04
  5. Step 5: Solve for x
    x = 66,116,243,777.04/296,000.88
  6. Step 6: Final answer
    x = 223,365.02

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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.