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Finding the Fourth Proportional to 588,448.50, 882,803.97 and 214,471.50

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Solution

The fourth proportional to 588,448.50, 882,803.97 and 214,471.50 is: 321,755.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,448.50 : 882,803.97 = 214,471.50 : x
  2. Step 2: Convert to fraction form
    588,448.50/882,803.97 = 214,471.50/x
  3. Step 3: Cross multiply
    588,448.50x = 882,803.97 × 214,471.50
  4. Step 4: Simplify right side
    588,448.50x = 189,336,291,651.86
  5. Step 5: Solve for x
    x = 189,336,291,651.86/588,448.50
  6. Step 6: Final answer
    x = 321,755.08

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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.