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Finding the Fourth Proportional to 319,452.30, 440,985.87 and 206,330.22

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Solution

The fourth proportional to 319,452.30, 440,985.87 and 206,330.22 is: 284,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,452.30 : 440,985.87 = 206,330.22 : x
  2. Step 2: Convert to fraction form
    319,452.30/440,985.87 = 206,330.22/x
  3. Step 3: Cross multiply
    319,452.30x = 440,985.87 × 206,330.22
  4. Step 4: Simplify right side
    319,452.30x = 90,988,711,573.99
  5. Step 5: Solve for x
    x = 90,988,711,573.99/319,452.30
  6. Step 6: Final answer
    x = 284,827.22

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