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Finding the Fourth Proportional to 494,137.40, 741,206.10 and 307,513.40

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Solution

The fourth proportional to 494,137.40, 741,206.10 and 307,513.40 is: 461,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,137.40 : 741,206.10 = 307,513.40 : x
  2. Step 2: Convert to fraction form
    494,137.40/741,206.10 = 307,513.40/x
  3. Step 3: Cross multiply
    494,137.40x = 741,206.10 × 307,513.40
  4. Step 4: Simplify right side
    494,137.40x = 227,930,807,911.74
  5. Step 5: Solve for x
    x = 227,930,807,911.74/494,137.40
  6. Step 6: Final answer
    x = 461,270.10

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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.