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Finding the Fourth Proportional to 680,436.09, 939,000.72 and 422,217

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Solution

The fourth proportional to 680,436.09, 939,000.72 and 422,217 is: 582,658.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,436.09 : 939,000.72 = 422,217 : x
  2. Step 2: Convert to fraction form
    680,436.09/939,000.72 = 422,217/x
  3. Step 3: Cross multiply
    680,436.09x = 939,000.72 × 422,217
  4. Step 4: Simplify right side
    680,436.09x = 396,462,066,996.24
  5. Step 5: Solve for x
    x = 396,462,066,996.24/680,436.09
  6. Step 6: Final answer
    x = 582,658.79

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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.