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Finding the Fourth Proportional to 613,422.69, 920,321.79 and 314,115.12

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Solution

The fourth proportional to 613,422.69, 920,321.79 and 314,115.12 is: 471,268.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,422.69 : 920,321.79 = 314,115.12 : x
  2. Step 2: Convert to fraction form
    613,422.69/920,321.79 = 314,115.12/x
  3. Step 3: Cross multiply
    613,422.69x = 920,321.79 × 314,115.12
  4. Step 4: Simplify right side
    613,422.69x = 289,086,989,504.47
  5. Step 5: Solve for x
    x = 289,086,989,504.47/613,422.69
  6. Step 6: Final answer
    x = 471,268.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.