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Finding the Fourth Proportional to 419,146.26, 577,319.99 and 322,164.66

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Solution

The fourth proportional to 419,146.26, 577,319.99 and 322,164.66 is: 443,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,146.26 : 577,319.99 = 322,164.66 : x
  2. Step 2: Convert to fraction form
    419,146.26/577,319.99 = 322,164.66/x
  3. Step 3: Cross multiply
    419,146.26x = 577,319.99 × 322,164.66
  4. Step 4: Simplify right side
    419,146.26x = 185,992,096,678.73
  5. Step 5: Solve for x
    x = 185,992,096,678.73/419,146.26
  6. Step 6: Final answer
    x = 443,740.32

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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.