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Finding the Fourth Proportional to 264,554.40, 396,831.60 and 140,138.40

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Solution

The fourth proportional to 264,554.40, 396,831.60 and 140,138.40 is: 210,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,554.40 : 396,831.60 = 140,138.40 : x
  2. Step 2: Convert to fraction form
    264,554.40/396,831.60 = 140,138.40/x
  3. Step 3: Cross multiply
    264,554.40x = 396,831.60 × 140,138.40
  4. Step 4: Simplify right side
    264,554.40x = 55,611,345,493.44
  5. Step 5: Solve for x
    x = 55,611,345,493.44/264,554.40
  6. Step 6: Final answer
    x = 210,207.60

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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.