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Finding the Fourth Proportional to 381,813.54, 526,944.45 and 218,485.14

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Solution

The fourth proportional to 381,813.54, 526,944.45 and 218,485.14 is: 301,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,813.54 : 526,944.45 = 218,485.14 : x
  2. Step 2: Convert to fraction form
    381,813.54/526,944.45 = 218,485.14/x
  3. Step 3: Cross multiply
    381,813.54x = 526,944.45 × 218,485.14
  4. Step 4: Simplify right side
    381,813.54x = 115,129,531,930.47
  5. Step 5: Solve for x
    x = 115,129,531,930.47/381,813.54
  6. Step 6: Final answer
    x = 301,533.39

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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.