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Finding the Fourth Proportional to 296,469.45, 408,741.78 and 189,000.27

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Solution

The fourth proportional to 296,469.45, 408,741.78 and 189,000.27 is: 260,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,469.45 : 408,741.78 = 189,000.27 : x
  2. Step 2: Convert to fraction form
    296,469.45/408,741.78 = 189,000.27/x
  3. Step 3: Cross multiply
    296,469.45x = 408,741.78 × 189,000.27
  4. Step 4: Simplify right side
    296,469.45x = 77,252,306,780.28
  5. Step 5: Solve for x
    x = 77,252,306,780.28/296,469.45
  6. Step 6: Final answer
    x = 260,574.26

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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.