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Finding the Fourth Proportional to 332,064, 498,096 and 110,448

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Solution

The fourth proportional to 332,064, 498,096 and 110,448 is: 165,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,064 : 498,096 = 110,448 : x
  2. Step 2: Convert to fraction form
    332,064/498,096 = 110,448/x
  3. Step 3: Cross multiply
    332,064x = 498,096 × 110,448
  4. Step 4: Simplify right side
    332,064x = 55,013,707,008
  5. Step 5: Solve for x
    x = 55,013,707,008/332,064
  6. Step 6: Final answer
    x = 165,672

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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.