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Finding the Fourth Proportional to 643,415.31, 964,495.42 and 306,365.40

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Solution

The fourth proportional to 643,415.31, 964,495.42 and 306,365.40 is: 459,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,415.31 : 964,495.42 = 306,365.40 : x
  2. Step 2: Convert to fraction form
    643,415.31/964,495.42 = 306,365.40/x
  3. Step 3: Cross multiply
    643,415.31x = 964,495.42 × 306,365.40
  4. Step 4: Simplify right side
    643,415.31x = 295,488,024,380.56
  5. Step 5: Solve for x
    x = 295,488,024,380.56/643,415.31
  6. Step 6: Final answer
    x = 459,249.29

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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.