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Finding the Fourth Proportional to 214,405.36, 321,623.40 and 56,632.24

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Solution

The fourth proportional to 214,405.36, 321,623.40 and 56,632.24 is: 84,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,405.36 : 321,623.40 = 56,632.24 : x
  2. Step 2: Convert to fraction form
    214,405.36/321,623.40 = 56,632.24/x
  3. Step 3: Cross multiply
    214,405.36x = 321,623.40 × 56,632.24
  4. Step 4: Simplify right side
    214,405.36x = 18,214,253,578.42
  5. Step 5: Solve for x
    x = 18,214,253,578.42/214,405.36
  6. Step 6: Final answer
    x = 84,952.42

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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.