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Finding the Fourth Proportional to 431,658.40, 647,487.60 and 342,428.80

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Solution

The fourth proportional to 431,658.40, 647,487.60 and 342,428.80 is: 513,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,658.40 : 647,487.60 = 342,428.80 : x
  2. Step 2: Convert to fraction form
    431,658.40/647,487.60 = 342,428.80/x
  3. Step 3: Cross multiply
    431,658.40x = 647,487.60 × 342,428.80
  4. Step 4: Simplify right side
    431,658.40x = 221,718,401,882.88
  5. Step 5: Solve for x
    x = 221,718,401,882.88/431,658.40
  6. Step 6: Final answer
    x = 513,643.20

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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.