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Finding the Fourth Proportional to 307,965.80, 460,911.90 and 283,082.60

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Solution

The fourth proportional to 307,965.80, 460,911.90 and 283,082.60 is: 423,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,965.80 : 460,911.90 = 283,082.60 : x
  2. Step 2: Convert to fraction form
    307,965.80/460,911.90 = 283,082.60/x
  3. Step 3: Cross multiply
    307,965.80x = 460,911.90 × 283,082.60
  4. Step 4: Simplify right side
    307,965.80x = 130,476,139,022.94
  5. Step 5: Solve for x
    x = 130,476,139,022.94/307,965.80
  6. Step 6: Final answer
    x = 423,670.87

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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.