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Finding the Fourth Proportional to 589,081.44, 883,359.72 and 214,842

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Solution

The fourth proportional to 589,081.44, 883,359.72 and 214,842 is: 322,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,081.44 : 883,359.72 = 214,842 : x
  2. Step 2: Convert to fraction form
    589,081.44/883,359.72 = 214,842/x
  3. Step 3: Cross multiply
    589,081.44x = 883,359.72 × 214,842
  4. Step 4: Simplify right side
    589,081.44x = 189,782,768,964.24
  5. Step 5: Solve for x
    x = 189,782,768,964.24/589,081.44
  6. Step 6: Final answer
    x = 322,167.29

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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.