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Finding the Fourth Proportional to 685,938.68, 946,601.94 and 380,021.57

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Solution

The fourth proportional to 685,938.68, 946,601.94 and 380,021.57 is: 524,433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,938.68 : 946,601.94 = 380,021.57 : x
  2. Step 2: Convert to fraction form
    685,938.68/946,601.94 = 380,021.57/x
  3. Step 3: Cross multiply
    685,938.68x = 946,601.94 × 380,021.57
  4. Step 4: Simplify right side
    685,938.68x = 359,729,160,970.31
  5. Step 5: Solve for x
    x = 359,729,160,970.31/685,938.68
  6. Step 6: Final answer
    x = 524,433.41

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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.