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Finding the Fourth Proportional to 214,588.29, 321,894.73 and 56,812.64

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Solution

The fourth proportional to 214,588.29, 321,894.73 and 56,812.64 is: 85,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,588.29 : 321,894.73 = 56,812.64 : x
  2. Step 2: Convert to fraction form
    214,588.29/321,894.73 = 56,812.64/x
  3. Step 3: Cross multiply
    214,588.29x = 321,894.73 × 56,812.64
  4. Step 4: Simplify right side
    214,588.29x = 18,287,689,845.37
  5. Step 5: Solve for x
    x = 18,287,689,845.37/214,588.29
  6. Step 6: Final answer
    x = 85,222.22

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Why These Related Problems?

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