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Finding the Fourth Proportional to 389,945.54, 538,126.20 and 211,097.54

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Solution

The fourth proportional to 389,945.54, 538,126.20 and 211,097.54 is: 291,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,945.54 : 538,126.20 = 211,097.54 : x
  2. Step 2: Convert to fraction form
    389,945.54/538,126.20 = 211,097.54/x
  3. Step 3: Cross multiply
    389,945.54x = 538,126.20 × 211,097.54
  4. Step 4: Simplify right side
    389,945.54x = 113,597,117,029.55
  5. Step 5: Solve for x
    x = 113,597,117,029.55/389,945.54
  6. Step 6: Final answer
    x = 291,315.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.