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Finding the Fourth Proportional to 733,640.33, 1,012,434 and 443,211.51

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Solution

The fourth proportional to 733,640.33, 1,012,434 and 443,211.51 is: 611,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,640.33 : 1,012,434 = 443,211.51 : x
  2. Step 2: Convert to fraction form
    733,640.33/1,012,434 = 443,211.51/x
  3. Step 3: Cross multiply
    733,640.33x = 1,012,434 × 443,211.51
  4. Step 4: Simplify right side
    733,640.33x = 448,722,401,915.34
  5. Step 5: Solve for x
    x = 448,722,401,915.34/733,640.33
  6. Step 6: Final answer
    x = 611,638.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.