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Finding the Fourth Proportional to 296,220, 408,783.87 and 162,084

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Solution

The fourth proportional to 296,220, 408,783.87 and 162,084 is: 223,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,220 : 408,783.87 = 162,084 : x
  2. Step 2: Convert to fraction form
    296,220/408,783.87 = 162,084/x
  3. Step 3: Cross multiply
    296,220x = 408,783.87 × 162,084
  4. Step 4: Simplify right side
    296,220x = 66,257,324,785.08
  5. Step 5: Solve for x
    x = 66,257,324,785.08/296,220
  6. Step 6: Final answer
    x = 223,676.07

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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.