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Finding the Fourth Proportional to 293,894.38, 405,578.69 and 164,861.46

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Solution

The fourth proportional to 293,894.38, 405,578.69 and 164,861.46 is: 227,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,894.38 : 405,578.69 = 164,861.46 : x
  2. Step 2: Convert to fraction form
    293,894.38/405,578.69 = 164,861.46/x
  3. Step 3: Cross multiply
    293,894.38x = 405,578.69 × 164,861.46
  4. Step 4: Simplify right side
    293,894.38x = 66,864,294,978.29
  5. Step 5: Solve for x
    x = 66,864,294,978.29/293,894.38
  6. Step 6: Final answer
    x = 227,511.31

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1.5x scale

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.