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Finding the Fourth Proportional to 297,792.11, 410,951.76 and 161,823.48

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Solution

The fourth proportional to 297,792.11, 410,951.76 and 161,823.48 is: 223,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,792.11 : 410,951.76 = 161,823.48 : x
  2. Step 2: Convert to fraction form
    297,792.11/410,951.76 = 161,823.48/x
  3. Step 3: Cross multiply
    297,792.11x = 410,951.76 × 161,823.48
  4. Step 4: Simplify right side
    297,792.11x = 66,501,643,915.32
  5. Step 5: Solve for x
    x = 66,501,643,915.32/297,792.11
  6. Step 6: Final answer
    x = 223,315.67

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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.