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Finding the Fourth Proportional to 569,896.36, 854,844.37 and 214,827.34

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Solution

The fourth proportional to 569,896.36, 854,844.37 and 214,827.34 is: 322,240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,896.36 : 854,844.37 = 214,827.34 : x
  2. Step 2: Convert to fraction form
    569,896.36/854,844.37 = 214,827.34/x
  3. Step 3: Cross multiply
    569,896.36x = 854,844.37 × 214,827.34
  4. Step 4: Simplify right side
    569,896.36x = 183,643,940,596.58
  5. Step 5: Solve for x
    x = 183,643,940,596.58/569,896.36
  6. Step 6: Final answer
    x = 322,240.94

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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.