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Finding the Fourth Proportional to 588,213.50, 882,451.48 and 214,236.50

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Solution

The fourth proportional to 588,213.50, 882,451.48 and 214,236.50 is: 321,402.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,213.50 : 882,451.48 = 214,236.50 : x
  2. Step 2: Convert to fraction form
    588,213.50/882,451.48 = 214,236.50/x
  3. Step 3: Cross multiply
    588,213.50x = 882,451.48 × 214,236.50
  4. Step 4: Simplify right side
    588,213.50x = 189,053,316,495.02
  5. Step 5: Solve for x
    x = 189,053,316,495.02/588,213.50
  6. Step 6: Final answer
    x = 321,402.55

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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.