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Finding the Fourth Proportional to 431,426.20, 646,880.10 and 221,474.20

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Solution

The fourth proportional to 431,426.20, 646,880.10 and 221,474.20 is: 332,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,426.20 : 646,880.10 = 221,474.20 : x
  2. Step 2: Convert to fraction form
    431,426.20/646,880.10 = 221,474.20/x
  3. Step 3: Cross multiply
    431,426.20x = 646,880.10 × 221,474.20
  4. Step 4: Simplify right side
    431,426.20x = 143,267,252,643.42
  5. Step 5: Solve for x
    x = 143,267,252,643.42/431,426.20
  6. Step 6: Final answer
    x = 332,078.24

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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.