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Finding the Fourth Proportional to 262,433.30, 393,712.44 and 84,940.31

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Solution

The fourth proportional to 262,433.30, 393,712.44 and 84,940.31 is: 127,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,433.30 : 393,712.44 = 84,940.31 : x
  2. Step 2: Convert to fraction form
    262,433.30/393,712.44 = 84,940.31/x
  3. Step 3: Cross multiply
    262,433.30x = 393,712.44 × 84,940.31
  4. Step 4: Simplify right side
    262,433.30x = 33,442,056,704.46
  5. Step 5: Solve for x
    x = 33,442,056,704.46/262,433.30
  6. Step 6: Final answer
    x = 127,430.69

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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.