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Finding the Fourth Proportional to 307,395.45, 460,601.10 and 202,091.40

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Solution

The fourth proportional to 307,395.45, 460,601.10 and 202,091.40 is: 302,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,395.45 : 460,601.10 = 202,091.40 : x
  2. Step 2: Convert to fraction form
    307,395.45/460,601.10 = 202,091.40/x
  3. Step 3: Cross multiply
    307,395.45x = 460,601.10 × 202,091.40
  4. Step 4: Simplify right side
    307,395.45x = 93,083,521,140.54
  5. Step 5: Solve for x
    x = 93,083,521,140.54/307,395.45
  6. Step 6: Final answer
    x = 302,813.59

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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.