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Finding the Fourth Proportional to 320,823.33, 480,964.32 and 202,233.21

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Solution

The fourth proportional to 320,823.33, 480,964.32 and 202,233.21 is: 303,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,823.33 : 480,964.32 = 202,233.21 : x
  2. Step 2: Convert to fraction form
    320,823.33/480,964.32 = 202,233.21/x
  3. Step 3: Cross multiply
    320,823.33x = 480,964.32 × 202,233.21
  4. Step 4: Simplify right side
    320,823.33x = 97,266,958,329.07
  5. Step 5: Solve for x
    x = 97,266,958,329.07/320,823.33
  6. Step 6: Final answer
    x = 303,179.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.