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Finding the Fourth Proportional to 451,770, 677,516.76 and 152,170.26

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Solution

The fourth proportional to 451,770, 677,516.76 and 152,170.26 is: 228,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,770 : 677,516.76 = 152,170.26 : x
  2. Step 2: Convert to fraction form
    451,770/677,516.76 = 152,170.26/x
  3. Step 3: Cross multiply
    451,770x = 677,516.76 × 152,170.26
  4. Step 4: Simplify right side
    451,770x = 103,097,901,523.56
  5. Step 5: Solve for x
    x = 103,097,901,523.56/451,770
  6. Step 6: Final answer
    x = 228,208.83

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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.