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Finding the Fourth Proportional to 214,318.30, 321,490.82 and 56,546.91

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Solution

The fourth proportional to 214,318.30, 321,490.82 and 56,546.91 is: 84,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,318.30 : 321,490.82 = 56,546.91 : x
  2. Step 2: Convert to fraction form
    214,318.30/321,490.82 = 56,546.91/x
  3. Step 3: Cross multiply
    214,318.30x = 321,490.82 × 56,546.91
  4. Step 4: Simplify right side
    214,318.30x = 18,179,312,464.37
  5. Step 5: Solve for x
    x = 18,179,312,464.37/214,318.30
  6. Step 6: Final answer
    x = 84,823.89

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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.