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Finding the Fourth Proportional to 407,633.02, 611,304.03 and 167,676.80

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Solution

The fourth proportional to 407,633.02, 611,304.03 and 167,676.80 is: 251,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,633.02 : 611,304.03 = 167,676.80 : x
  2. Step 2: Convert to fraction form
    407,633.02/611,304.03 = 167,676.80/x
  3. Step 3: Cross multiply
    407,633.02x = 611,304.03 × 167,676.80
  4. Step 4: Simplify right side
    407,633.02x = 102,501,500,520.98
  5. Step 5: Solve for x
    x = 102,501,500,520.98/407,633.02
  6. Step 6: Final answer
    x = 251,455.34

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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.