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Finding the Fourth Proportional to 686,366.49, 946,865.37 and 431,858.01

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Solution

The fourth proportional to 686,366.49, 946,865.37 and 431,858.01 is: 595,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,366.49 : 946,865.37 = 431,858.01 : x
  2. Step 2: Convert to fraction form
    686,366.49/946,865.37 = 431,858.01/x
  3. Step 3: Cross multiply
    686,366.49x = 946,865.37 × 431,858.01
  4. Step 4: Simplify right side
    686,366.49x = 408,911,394,426.11
  5. Step 5: Solve for x
    x = 408,911,394,426.11/686,366.49
  6. Step 6: Final answer
    x = 595,762.47

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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.