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Finding the Fourth Proportional to 390,139, 538,391.82 and 211,291

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Solution

The fourth proportional to 390,139, 538,391.82 and 211,291 is: 291,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,139 : 538,391.82 = 211,291 : x
  2. Step 2: Convert to fraction form
    390,139/538,391.82 = 211,291/x
  3. Step 3: Cross multiply
    390,139x = 538,391.82 × 211,291
  4. Step 4: Simplify right side
    390,139x = 113,757,346,039.62
  5. Step 5: Solve for x
    x = 113,757,346,039.62/390,139
  6. Step 6: Final answer
    x = 291,581.58

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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.