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Finding the Fourth Proportional to 411,921, 568,459.62 and 233,073

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Solution

The fourth proportional to 411,921, 568,459.62 and 233,073 is: 321,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,921 : 568,459.62 = 233,073 : x
  2. Step 2: Convert to fraction form
    411,921/568,459.62 = 233,073/x
  3. Step 3: Cross multiply
    411,921x = 568,459.62 × 233,073
  4. Step 4: Simplify right side
    411,921x = 132,492,589,012.26
  5. Step 5: Solve for x
    x = 132,492,589,012.26/411,921
  6. Step 6: Final answer
    x = 321,645.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.