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Finding the Fourth Proportional to 422,775.65, 631,842.12 and 309,162.83

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Solution

The fourth proportional to 422,775.65, 631,842.12 and 309,162.83 is: 462,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,775.65 : 631,842.12 = 309,162.83 : x
  2. Step 2: Convert to fraction form
    422,775.65/631,842.12 = 309,162.83/x
  3. Step 3: Cross multiply
    422,775.65x = 631,842.12 × 309,162.83
  4. Step 4: Simplify right side
    422,775.65x = 195,342,094,773.19
  5. Step 5: Solve for x
    x = 195,342,094,773.19/422,775.65
  6. Step 6: Final answer
    x = 462,046.70

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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.