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Finding the Fourth Proportional to 364,856.67, 503,369.24 and 213,924.51

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Solution

The fourth proportional to 364,856.67, 503,369.24 and 213,924.51 is: 295,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,856.67 : 503,369.24 = 213,924.51 : x
  2. Step 2: Convert to fraction form
    364,856.67/503,369.24 = 213,924.51/x
  3. Step 3: Cross multiply
    364,856.67x = 503,369.24 × 213,924.51
  4. Step 4: Simplify right side
    364,856.67x = 107,683,016,946.45
  5. Step 5: Solve for x
    x = 107,683,016,946.45/364,856.67
  6. Step 6: Final answer
    x = 295,137.86

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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.