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Finding the Fourth Proportional to 364,551.70, 502,879.16 and 213,619.54

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Solution

The fourth proportional to 364,551.70, 502,879.16 and 213,619.54 is: 294,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,551.70 : 502,879.16 = 213,619.54 : x
  2. Step 2: Convert to fraction form
    364,551.70/502,879.16 = 213,619.54/x
  3. Step 3: Cross multiply
    364,551.70x = 502,879.16 × 213,619.54
  4. Step 4: Simplify right side
    364,551.70x = 107,424,814,834.79
  5. Step 5: Solve for x
    x = 107,424,814,834.79/364,551.70
  6. Step 6: Final answer
    x = 294,676.49

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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.