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Finding the Fourth Proportional to 275,715.80, 413,622.30 and 98,325.80

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Solution

The fourth proportional to 275,715.80, 413,622.30 and 98,325.80 is: 147,506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,715.80 : 413,622.30 = 98,325.80 : x
  2. Step 2: Convert to fraction form
    275,715.80/413,622.30 = 98,325.80/x
  3. Step 3: Cross multiply
    275,715.80x = 413,622.30 × 98,325.80
  4. Step 4: Simplify right side
    275,715.80x = 40,669,743,545.34
  5. Step 5: Solve for x
    x = 40,669,743,545.34/275,715.80
  6. Step 6: Final answer
    x = 147,506.03

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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.