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Finding the Fourth Proportional to 390,297.25, 538,412.89 and 261,241.21

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Solution

The fourth proportional to 390,297.25, 538,412.89 and 261,241.21 is: 360,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,297.25 : 538,412.89 = 261,241.21 : x
  2. Step 2: Convert to fraction form
    390,297.25/538,412.89 = 261,241.21/x
  3. Step 3: Cross multiply
    390,297.25x = 538,412.89 × 261,241.21
  4. Step 4: Simplify right side
    390,297.25x = 140,655,634,863.20
  5. Step 5: Solve for x
    x = 140,655,634,863.20/390,297.25
  6. Step 6: Final answer
    x = 360,380.80

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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.