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Finding the Fourth Proportional to 588,369.80, 882,785.10 and 214,430.60

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Solution

The fourth proportional to 588,369.80, 882,785.10 and 214,430.60 is: 321,729.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,369.80 : 882,785.10 = 214,430.60 : x
  2. Step 2: Convert to fraction form
    588,369.80/882,785.10 = 214,430.60/x
  3. Step 3: Cross multiply
    588,369.80x = 882,785.10 × 214,430.60
  4. Step 4: Simplify right side
    588,369.80x = 189,296,138,664.06
  5. Step 5: Solve for x
    x = 189,296,138,664.06/588,369.80
  6. Step 6: Final answer
    x = 321,729.87

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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.