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Finding the Fourth Proportional to 307,574.10, 460,972.35 and 274,137.30

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Solution

The fourth proportional to 307,574.10, 460,972.35 and 274,137.30 is: 410,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,574.10 : 460,972.35 = 274,137.30 : x
  2. Step 2: Convert to fraction form
    307,574.10/460,972.35 = 274,137.30/x
  3. Step 3: Cross multiply
    307,574.10x = 460,972.35 × 274,137.30
  4. Step 4: Simplify right side
    307,574.10x = 126,369,715,403.66
  5. Step 5: Solve for x
    x = 126,369,715,403.66/307,574.10
  6. Step 6: Final answer
    x = 410,859.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.