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Finding the Fourth Proportional to 311,306.83, 464,380.73 and 302,129.63

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Solution

The fourth proportional to 311,306.83, 464,380.73 and 302,129.63 is: 450,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,306.83 : 464,380.73 = 302,129.63 : x
  2. Step 2: Convert to fraction form
    311,306.83/464,380.73 = 302,129.63/x
  3. Step 3: Cross multiply
    311,306.83x = 464,380.73 × 302,129.63
  4. Step 4: Simplify right side
    311,306.83x = 140,303,178,134.03
  5. Step 5: Solve for x
    x = 140,303,178,134.03/311,306.83
  6. Step 6: Final answer
    x = 450,690.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.