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Finding the Fourth Proportional to 315,883.80, 474,012.90 and 116,344.44

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Solution

The fourth proportional to 315,883.80, 474,012.90 and 116,344.44 is: 174,585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,883.80 : 474,012.90 = 116,344.44 : x
  2. Step 2: Convert to fraction form
    315,883.80/474,012.90 = 116,344.44/x
  3. Step 3: Cross multiply
    315,883.80x = 474,012.90 × 116,344.44
  4. Step 4: Simplify right side
    315,883.80x = 55,148,765,403.28
  5. Step 5: Solve for x
    x = 55,148,765,403.28/315,883.80
  6. Step 6: Final answer
    x = 174,585.61

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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.