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Finding the Fourth Proportional to 293,212.08, 404,634.42 and 165,914.28

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Solution

The fourth proportional to 293,212.08, 404,634.42 and 165,914.28 is: 228,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,212.08 : 404,634.42 = 165,914.28 : x
  2. Step 2: Convert to fraction form
    293,212.08/404,634.42 = 165,914.28/x
  3. Step 3: Cross multiply
    293,212.08x = 404,634.42 × 165,914.28
  4. Step 4: Simplify right side
    293,212.08x = 67,134,628,457.52
  5. Step 5: Solve for x
    x = 67,134,628,457.52/293,212.08
  6. Step 6: Final answer
    x = 228,962.70

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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.