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Finding the Fourth Proportional to 364,718.34, 503,395.29 and 213,863.94

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Solution

The fourth proportional to 364,718.34, 503,395.29 and 213,863.94 is: 295,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,718.34 : 503,395.29 = 213,863.94 : x
  2. Step 2: Convert to fraction form
    364,718.34/503,395.29 = 213,863.94/x
  3. Step 3: Cross multiply
    364,718.34x = 503,395.29 × 213,863.94
  4. Step 4: Simplify right side
    364,718.34x = 107,658,100,096.84
  5. Step 5: Solve for x
    x = 107,658,100,096.84/364,718.34
  6. Step 6: Final answer
    x = 295,181.48

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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.