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Finding the Fourth Proportional to 431,696.40, 647,544.60 and 342,466.80

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Solution

The fourth proportional to 431,696.40, 647,544.60 and 342,466.80 is: 513,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,696.40 : 647,544.60 = 342,466.80 : x
  2. Step 2: Convert to fraction form
    431,696.40/647,544.60 = 342,466.80/x
  3. Step 3: Cross multiply
    431,696.40x = 647,544.60 × 342,466.80
  4. Step 4: Simplify right side
    431,696.40x = 221,762,527,019.28
  5. Step 5: Solve for x
    x = 221,762,527,019.28/431,696.40
  6. Step 6: Final answer
    x = 513,700.20

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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.