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Finding the Fourth Proportional to 569,896.80, 854,845.03 and 214,827.79

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Solution

The fourth proportional to 569,896.80, 854,845.03 and 214,827.79 is: 322,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,896.80 : 854,845.03 = 214,827.79 : x
  2. Step 2: Convert to fraction form
    569,896.80/854,845.03 = 214,827.79/x
  3. Step 3: Cross multiply
    569,896.80x = 854,845.03 × 214,827.79
  4. Step 4: Simplify right side
    569,896.80x = 183,644,465,913.20
  5. Step 5: Solve for x
    x = 183,644,465,913.20/569,896.80
  6. Step 6: Final answer
    x = 322,241.62

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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.