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Finding the Fourth Proportional to 379,441.65, 523,629.67 and 209,675.78

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Solution

The fourth proportional to 379,441.65, 523,629.67 and 209,675.78 is: 289,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,441.65 : 523,629.67 = 209,675.78 : x
  2. Step 2: Convert to fraction form
    379,441.65/523,629.67 = 209,675.78/x
  3. Step 3: Cross multiply
    379,441.65x = 523,629.67 × 209,675.78
  4. Step 4: Simplify right side
    379,441.65x = 109,792,457,655.13
  5. Step 5: Solve for x
    x = 109,792,457,655.13/379,441.65
  6. Step 6: Final answer
    x = 289,352.68

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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.