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Finding the Fourth Proportional to 569,701, 854,553.36 and 214,619.68

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Solution

The fourth proportional to 569,701, 854,553.36 and 214,619.68 is: 321,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,701 : 854,553.36 = 214,619.68 : x
  2. Step 2: Convert to fraction form
    569,701/854,553.36 = 214,619.68/x
  3. Step 3: Cross multiply
    569,701x = 854,553.36 × 214,619.68
  4. Step 4: Simplify right side
    569,701x = 183,403,968,666.13
  5. Step 5: Solve for x
    x = 183,403,968,666.13/569,701
  6. Step 6: Final answer
    x = 321,930.22

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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.