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Finding the Fourth Proportional to 320,947.80, 481,292.10 and 110,477.40

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Solution

The fourth proportional to 320,947.80, 481,292.10 and 110,477.40 is: 165,671.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,947.80 : 481,292.10 = 110,477.40 : x
  2. Step 2: Convert to fraction form
    320,947.80/481,292.10 = 110,477.40/x
  3. Step 3: Cross multiply
    320,947.80x = 481,292.10 × 110,477.40
  4. Step 4: Simplify right side
    320,947.80x = 53,171,899,848.54
  5. Step 5: Solve for x
    x = 53,171,899,848.54/320,947.80
  6. Step 6: Final answer
    x = 165,671.49

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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.