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Finding the Fourth Proportional to 176,256, 264,384 and 44,928

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Solution

The fourth proportional to 176,256, 264,384 and 44,928 is: 67,392

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,256 : 264,384 = 44,928 : x
  2. Step 2: Convert to fraction form
    176,256/264,384 = 44,928/x
  3. Step 3: Cross multiply
    176,256x = 264,384 × 44,928
  4. Step 4: Simplify right side
    176,256x = 11,878,244,352
  5. Step 5: Solve for x
    x = 11,878,244,352/176,256
  6. Step 6: Final answer
    x = 67,392

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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.