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Finding the Fourth Proportional to 569,738.70, 854,073.45 and 214,991.10

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Solution

The fourth proportional to 569,738.70, 854,073.45 and 214,991.10 is: 322,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,738.70 : 854,073.45 = 214,991.10 : x
  2. Step 2: Convert to fraction form
    569,738.70/854,073.45 = 214,991.10/x
  3. Step 3: Cross multiply
    569,738.70x = 854,073.45 × 214,991.10
  4. Step 4: Simplify right side
    569,738.70x = 183,618,190,496.30
  5. Step 5: Solve for x
    x = 183,618,190,496.30/569,738.70
  6. Step 6: Final answer
    x = 322,284.92

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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.