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Finding the Fourth Proportional to 1,106,224, 1,659,336 and 318,256

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Solution

The fourth proportional to 1,106,224, 1,659,336 and 318,256 is: 477,384

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106,224 : 1,659,336 = 318,256 : x
  2. Step 2: Convert to fraction form
    1,106,224/1,659,336 = 318,256/x
  3. Step 3: Cross multiply
    1,106,224x = 1,659,336 × 318,256
  4. Step 4: Simplify right side
    1,106,224x = 528,093,638,016
  5. Step 5: Solve for x
    x = 528,093,638,016/1,106,224
  6. Step 6: Final answer
    x = 477,384

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.