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Finding the Fourth Proportional to 490,122.12, 676,289.04 and 306,339

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Solution

The fourth proportional to 490,122.12, 676,289.04 and 306,339 is: 422,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,122.12 : 676,289.04 = 306,339 : x
  2. Step 2: Convert to fraction form
    490,122.12/676,289.04 = 306,339/x
  3. Step 3: Cross multiply
    490,122.12x = 676,289.04 × 306,339
  4. Step 4: Simplify right side
    490,122.12x = 207,173,708,224.56
  5. Step 5: Solve for x
    x = 207,173,708,224.56/490,122.12
  6. Step 6: Final answer
    x = 422,698.14

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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.