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Finding the Fourth Proportional to 385,173.88, 531,538.14 and 215,408.68

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Solution

The fourth proportional to 385,173.88, 531,538.14 and 215,408.68 is: 297,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,173.88 : 531,538.14 = 215,408.68 : x
  2. Step 2: Convert to fraction form
    385,173.88/531,538.14 = 215,408.68/x
  3. Step 3: Cross multiply
    385,173.88x = 531,538.14 × 215,408.68
  4. Step 4: Simplify right side
    385,173.88x = 114,497,929,107.06
  5. Step 5: Solve for x
    x = 114,497,929,107.06/385,173.88
  6. Step 6: Final answer
    x = 297,262.96

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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.