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Finding the Fourth Proportional to 383,211.50, 528,806.50 and 230,256.14

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Solution

The fourth proportional to 383,211.50, 528,806.50 and 230,256.14 is: 317,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,211.50 : 528,806.50 = 230,256.14 : x
  2. Step 2: Convert to fraction form
    383,211.50/528,806.50 = 230,256.14/x
  3. Step 3: Cross multiply
    383,211.50x = 528,806.50 × 230,256.14
  4. Step 4: Simplify right side
    383,211.50x = 121,760,940,277.24
  5. Step 5: Solve for x
    x = 121,760,940,277.24/383,211.50
  6. Step 6: Final answer
    x = 317,738.23

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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.