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Finding the Fourth Proportional to 384,314.25, 530,313.38 and 223,137.81

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Solution

The fourth proportional to 384,314.25, 530,313.38 and 223,137.81 is: 307,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,314.25 : 530,313.38 = 223,137.81 : x
  2. Step 2: Convert to fraction form
    384,314.25/530,313.38 = 223,137.81/x
  3. Step 3: Cross multiply
    384,314.25x = 530,313.38 × 223,137.81
  4. Step 4: Simplify right side
    384,314.25x = 118,332,965,111.21
  5. Step 5: Solve for x
    x = 118,332,965,111.21/384,314.25
  6. Step 6: Final answer
    x = 307,906.78

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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.