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Finding the Fourth Proportional to 390,089, 538,322.82 and 211,241

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Solution

The fourth proportional to 390,089, 538,322.82 and 211,241 is: 291,512.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,089 : 538,322.82 = 211,241 : x
  2. Step 2: Convert to fraction form
    390,089/538,322.82 = 211,241/x
  3. Step 3: Cross multiply
    390,089x = 538,322.82 × 211,241
  4. Step 4: Simplify right side
    390,089x = 113,715,850,819.62
  5. Step 5: Solve for x
    x = 113,715,850,819.62/390,089
  6. Step 6: Final answer
    x = 291,512.58

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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.