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Finding the Fourth Proportional to 364,722.34, 503,400.82 and 213,867.94

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Solution

The fourth proportional to 364,722.34, 503,400.82 and 213,867.94 is: 295,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,722.34 : 503,400.82 = 213,867.94 : x
  2. Step 2: Convert to fraction form
    364,722.34/503,400.82 = 213,867.94/x
  3. Step 3: Cross multiply
    364,722.34x = 503,400.82 × 213,867.94
  4. Step 4: Simplify right side
    364,722.34x = 107,661,296,367.71
  5. Step 5: Solve for x
    x = 107,661,296,367.71/364,722.34
  6. Step 6: Final answer
    x = 295,187.01

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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.