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Finding the Fourth Proportional to 404,512, 606,768 and 109,024

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Solution

The fourth proportional to 404,512, 606,768 and 109,024 is: 163,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,512 : 606,768 = 109,024 : x
  2. Step 2: Convert to fraction form
    404,512/606,768 = 109,024/x
  3. Step 3: Cross multiply
    404,512x = 606,768 × 109,024
  4. Step 4: Simplify right side
    404,512x = 66,152,274,432
  5. Step 5: Solve for x
    x = 66,152,274,432/404,512
  6. Step 6: Final answer
    x = 163,536

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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.