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Finding the Fourth Proportional to 385,186.36, 531,390 and 232,137.58

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Solution

The fourth proportional to 385,186.36, 531,390 and 232,137.58 is: 320,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,186.36 : 531,390 = 232,137.58 : x
  2. Step 2: Convert to fraction form
    385,186.36/531,390 = 232,137.58/x
  3. Step 3: Cross multiply
    385,186.36x = 531,390 × 232,137.58
  4. Step 4: Simplify right side
    385,186.36x = 123,355,588,636.20
  5. Step 5: Solve for x
    x = 123,355,588,636.20/385,186.36
  6. Step 6: Final answer
    x = 320,249.11

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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.