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Finding the Fourth Proportional to 307,161.84, 460,144.97 and 173,638.20

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Solution

The fourth proportional to 307,161.84, 460,144.97 and 173,638.20 is: 260,119.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,161.84 : 460,144.97 = 173,638.20 : x
  2. Step 2: Convert to fraction form
    307,161.84/460,144.97 = 173,638.20/x
  3. Step 3: Cross multiply
    307,161.84x = 460,144.97 × 173,638.20
  4. Step 4: Simplify right side
    307,161.84x = 79,898,744,329.85
  5. Step 5: Solve for x
    x = 79,898,744,329.85/307,161.84
  6. Step 6: Final answer
    x = 260,119.37

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1.5x scale

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.