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Finding the Fourth Proportional to 314,161.37, 471,063.53 and 214,442.27

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Solution

The fourth proportional to 314,161.37, 471,063.53 and 214,442.27 is: 321,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,161.37 : 471,063.53 = 214,442.27 : x
  2. Step 2: Convert to fraction form
    314,161.37/471,063.53 = 214,442.27/x
  3. Step 3: Cross multiply
    314,161.37x = 471,063.53 × 214,442.27
  4. Step 4: Simplify right side
    314,161.37x = 101,015,932,634.69
  5. Step 5: Solve for x
    x = 101,015,932,634.69/314,161.37
  6. Step 6: Final answer
    x = 321,541.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.