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Finding the Fourth Proportional to 429,343.26, 643,971.15 and 113,832.06

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Solution

The fourth proportional to 429,343.26, 643,971.15 and 113,832.06 is: 170,736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,343.26 : 643,971.15 = 113,832.06 : x
  2. Step 2: Convert to fraction form
    429,343.26/643,971.15 = 113,832.06/x
  3. Step 3: Cross multiply
    429,343.26x = 643,971.15 × 113,832.06
  4. Step 4: Simplify right side
    429,343.26x = 73,304,562,585.07
  5. Step 5: Solve for x
    x = 73,304,562,585.07/429,343.26
  6. Step 6: Final answer
    x = 170,736.49

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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.