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Finding the Fourth Proportional to 928,032, 1,392,048 and 227,616

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Solution

The fourth proportional to 928,032, 1,392,048 and 227,616 is: 341,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,032 : 1,392,048 = 227,616 : x
  2. Step 2: Convert to fraction form
    928,032/1,392,048 = 227,616/x
  3. Step 3: Cross multiply
    928,032x = 1,392,048 × 227,616
  4. Step 4: Simplify right side
    928,032x = 316,852,397,568
  5. Step 5: Solve for x
    x = 316,852,397,568/928,032
  6. Step 6: Final answer
    x = 341,424

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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.