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Finding the Fourth Proportional to 456,891, 630,422.10 and 295,723.68

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Solution

The fourth proportional to 456,891, 630,422.10 and 295,723.68 is: 408,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,891 : 630,422.10 = 295,723.68 : x
  2. Step 2: Convert to fraction form
    456,891/630,422.10 = 295,723.68/x
  3. Step 3: Cross multiply
    456,891x = 630,422.10 × 295,723.68
  4. Step 4: Simplify right side
    456,891x = 186,430,743,365.33
  5. Step 5: Solve for x
    x = 186,430,743,365.33/456,891
  6. Step 6: Final answer
    x = 408,042.06

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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.