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Finding the Fourth Proportional to 490,707.28, 677,690.10 and 338,142.16

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Solution

The fourth proportional to 490,707.28, 677,690.10 and 338,142.16 is: 466,990.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,707.28 : 677,690.10 = 338,142.16 : x
  2. Step 2: Convert to fraction form
    490,707.28/677,690.10 = 338,142.16/x
  3. Step 3: Cross multiply
    490,707.28x = 677,690.10 × 338,142.16
  4. Step 4: Simplify right side
    490,707.28x = 229,155,594,224.62
  5. Step 5: Solve for x
    x = 229,155,594,224.62/490,707.28
  6. Step 6: Final answer
    x = 466,990.41

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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.