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Finding the Fourth Proportional to 589,080.44, 883,358.22 and 214,841

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Solution

The fourth proportional to 589,080.44, 883,358.22 and 214,841 is: 322,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,080.44 : 883,358.22 = 214,841 : x
  2. Step 2: Convert to fraction form
    589,080.44/883,358.22 = 214,841/x
  3. Step 3: Cross multiply
    589,080.44x = 883,358.22 × 214,841
  4. Step 4: Simplify right side
    589,080.44x = 189,781,563,343.02
  5. Step 5: Solve for x
    x = 189,781,563,343.02/589,080.44
  6. Step 6: Final answer
    x = 322,165.79

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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.