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Finding the Fourth Proportional to 298,252.63, 411,588.63 and 164,116.63

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Solution

The fourth proportional to 298,252.63, 411,588.63 and 164,116.63 is: 226,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,252.63 : 411,588.63 = 164,116.63 : x
  2. Step 2: Convert to fraction form
    298,252.63/411,588.63 = 164,116.63/x
  3. Step 3: Cross multiply
    298,252.63x = 411,588.63 × 164,116.63
  4. Step 4: Simplify right side
    298,252.63x = 67,548,536,023.39
  5. Step 5: Solve for x
    x = 67,548,536,023.39/298,252.63
  6. Step 6: Final answer
    x = 226,480.94

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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.