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Finding the Fourth Proportional to 298,788, 412,336.24 and 164,660.64

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Solution

The fourth proportional to 298,788, 412,336.24 and 164,660.64 is: 227,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,788 : 412,336.24 = 164,660.64 : x
  2. Step 2: Convert to fraction form
    298,788/412,336.24 = 164,660.64/x
  3. Step 3: Cross multiply
    298,788x = 412,336.24 × 164,660.64
  4. Step 4: Simplify right side
    298,788x = 67,895,549,173.59
  5. Step 5: Solve for x
    x = 67,895,549,173.59/298,788
  6. Step 6: Final answer
    x = 227,236.53

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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.