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Finding the Fourth Proportional to 296,612.26, 408,996.93 and 189,011.86

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Solution

The fourth proportional to 296,612.26, 408,996.93 and 189,011.86 is: 260,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,612.26 : 408,996.93 = 189,011.86 : x
  2. Step 2: Convert to fraction form
    296,612.26/408,996.93 = 189,011.86/x
  3. Step 3: Cross multiply
    296,612.26x = 408,996.93 × 189,011.86
  4. Step 4: Simplify right side
    296,612.26x = 77,305,270,473.59
  5. Step 5: Solve for x
    x = 77,305,270,473.59/296,612.26
  6. Step 6: Final answer
    x = 260,627.36

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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.