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Finding the Fourth Proportional to 460,999.26, 691,104.47 and 176,893.69

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Solution

The fourth proportional to 460,999.26, 691,104.47 and 176,893.69 is: 265,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,999.26 : 691,104.47 = 176,893.69 : x
  2. Step 2: Convert to fraction form
    460,999.26/691,104.47 = 176,893.69/x
  3. Step 3: Cross multiply
    460,999.26x = 691,104.47 × 176,893.69
  4. Step 4: Simplify right side
    460,999.26x = 122,252,019,873.79
  5. Step 5: Solve for x
    x = 122,252,019,873.79/460,999.26
  6. Step 6: Final answer
    x = 265,189.19

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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.