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Finding the Fourth Proportional to 481,907.92, 722,946.48 and 162,029.20

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Solution

The fourth proportional to 481,907.92, 722,946.48 and 162,029.20 is: 243,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,907.92 : 722,946.48 = 162,029.20 : x
  2. Step 2: Convert to fraction form
    481,907.92/722,946.48 = 162,029.20/x
  3. Step 3: Cross multiply
    481,907.92x = 722,946.48 × 162,029.20
  4. Step 4: Simplify right side
    481,907.92x = 117,138,439,797.22
  5. Step 5: Solve for x
    x = 117,138,439,797.22/481,907.92
  6. Step 6: Final answer
    x = 243,072.24

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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.