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Finding the Fourth Proportional to 451,568.25, 677,397.74 and 119,144.25

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Solution

The fourth proportional to 451,568.25, 677,397.74 and 119,144.25 is: 178,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,568.25 : 677,397.74 = 119,144.25 : x
  2. Step 2: Convert to fraction form
    451,568.25/677,397.74 = 119,144.25/x
  3. Step 3: Cross multiply
    451,568.25x = 677,397.74 × 119,144.25
  4. Step 4: Simplify right side
    451,568.25x = 80,708,045,088.27
  5. Step 5: Solve for x
    x = 80,708,045,088.27/451,568.25
  6. Step 6: Final answer
    x = 178,728.34

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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.