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Finding the Fourth Proportional to 301,784.27, 416,460.30 and 165,819.70

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Solution

The fourth proportional to 301,784.27, 416,460.30 and 165,819.70 is: 228,830.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,784.27 : 416,460.30 = 165,819.70 : x
  2. Step 2: Convert to fraction form
    301,784.27/416,460.30 = 165,819.70/x
  3. Step 3: Cross multiply
    301,784.27x = 416,460.30 × 165,819.70
  4. Step 4: Simplify right side
    301,784.27x = 69,057,322,007.91
  5. Step 5: Solve for x
    x = 69,057,322,007.91/301,784.27
  6. Step 6: Final answer
    x = 228,830.09

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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.