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Finding the Fourth Proportional to 569,728.20, 854,057.70 and 214,980.60

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Solution

The fourth proportional to 569,728.20, 854,057.70 and 214,980.60 is: 322,269.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,728.20 : 854,057.70 = 214,980.60 : x
  2. Step 2: Convert to fraction form
    569,728.20/854,057.70 = 214,980.60/x
  3. Step 3: Cross multiply
    569,728.20x = 854,057.70 × 214,980.60
  4. Step 4: Simplify right side
    569,728.20x = 183,605,836,780.62
  5. Step 5: Solve for x
    x = 183,605,836,780.62/569,728.20
  6. Step 6: Final answer
    x = 322,269.17

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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.