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Finding the Fourth Proportional to 490,519.68, 677,102.14 and 286,636.90

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Solution

The fourth proportional to 490,519.68, 677,102.14 and 286,636.90 is: 395,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,519.68 : 677,102.14 = 286,636.90 : x
  2. Step 2: Convert to fraction form
    490,519.68/677,102.14 = 286,636.90/x
  3. Step 3: Cross multiply
    490,519.68x = 677,102.14 × 286,636.90
  4. Step 4: Simplify right side
    490,519.68x = 194,082,458,392.97
  5. Step 5: Solve for x
    x = 194,082,458,392.97/490,519.68
  6. Step 6: Final answer
    x = 395,667.02

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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.