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Finding the Fourth Proportional to 460,998.76, 691,103.72 and 176,893.19

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Solution

The fourth proportional to 460,998.76, 691,103.72 and 176,893.19 is: 265,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,998.76 : 691,103.72 = 176,893.19 : x
  2. Step 2: Convert to fraction form
    460,998.76/691,103.72 = 176,893.19/x
  3. Step 3: Cross multiply
    460,998.76x = 691,103.72 × 176,893.19
  4. Step 4: Simplify right side
    460,998.76x = 122,251,542,957.78
  5. Step 5: Solve for x
    x = 122,251,542,957.78/460,998.76
  6. Step 6: Final answer
    x = 265,188.44

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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.