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Finding the Fourth Proportional to 769,545, 1,061,968.82 and 430,013.24

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Solution

The fourth proportional to 769,545, 1,061,968.82 and 430,013.24 is: 593,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,545 : 1,061,968.82 = 430,013.24 : x
  2. Step 2: Convert to fraction form
    769,545/1,061,968.82 = 430,013.24/x
  3. Step 3: Cross multiply
    769,545x = 1,061,968.82 × 430,013.24
  4. Step 4: Simplify right side
    769,545x = 456,660,653,067.18
  5. Step 5: Solve for x
    x = 456,660,653,067.18/769,545
  6. Step 6: Final answer
    x = 593,416.44

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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.