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Finding the Fourth Proportional to 364,705.41, 503,243.85 and 211,719.36

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Solution

The fourth proportional to 364,705.41, 503,243.85 and 211,719.36 is: 292,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,705.41 : 503,243.85 = 211,719.36 : x
  2. Step 2: Convert to fraction form
    364,705.41/503,243.85 = 211,719.36/x
  3. Step 3: Cross multiply
    364,705.41x = 503,243.85 × 211,719.36
  4. Step 4: Simplify right side
    364,705.41x = 106,546,465,845.94
  5. Step 5: Solve for x
    x = 106,546,465,845.94/364,705.41
  6. Step 6: Final answer
    x = 292,143.91

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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.