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Finding the Fourth Proportional to 298,786, 412,333.48 and 164,658.64

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Solution

The fourth proportional to 298,786, 412,333.48 and 164,658.64 is: 227,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,786 : 412,333.48 = 164,658.64 : x
  2. Step 2: Convert to fraction form
    298,786/412,333.48 = 164,658.64/x
  3. Step 3: Cross multiply
    298,786x = 412,333.48 × 164,658.64
  4. Step 4: Simplify right side
    298,786x = 67,894,270,043.27
  5. Step 5: Solve for x
    x = 67,894,270,043.27/298,786
  6. Step 6: Final answer
    x = 227,233.77

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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.