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Finding the Fourth Proportional to 588,820.30, 883,360.77 and 214,842.22

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Solution

The fourth proportional to 588,820.30, 883,360.77 and 214,842.22 is: 322,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,820.30 : 883,360.77 = 214,842.22 : x
  2. Step 2: Convert to fraction form
    588,820.30/883,360.77 = 214,842.22/x
  3. Step 3: Cross multiply
    588,820.30x = 883,360.77 × 214,842.22
  4. Step 4: Simplify right side
    588,820.30x = 189,783,188,887.71
  5. Step 5: Solve for x
    x = 189,783,188,887.71/588,820.30
  6. Step 6: Final answer
    x = 322,310.88

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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.