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Finding the Fourth Proportional to 460,998.89, 691,103.91 and 176,893.32

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Solution

The fourth proportional to 460,998.89, 691,103.91 and 176,893.32 is: 265,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,998.89 : 691,103.91 = 176,893.32 : x
  2. Step 2: Convert to fraction form
    460,998.89/691,103.91 = 176,893.32/x
  3. Step 3: Cross multiply
    460,998.89x = 691,103.91 × 176,893.32
  4. Step 4: Simplify right side
    460,998.89x = 122,251,665,104.88
  5. Step 5: Solve for x
    x = 122,251,665,104.88/460,998.89
  6. Step 6: Final answer
    x = 265,188.64

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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.