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Finding the Fourth Proportional to 455,514.80, 682,696.20 and 174,657.20

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Solution

The fourth proportional to 455,514.80, 682,696.20 and 174,657.20 is: 261,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,514.80 : 682,696.20 = 174,657.20 : x
  2. Step 2: Convert to fraction form
    455,514.80/682,696.20 = 174,657.20/x
  3. Step 3: Cross multiply
    455,514.80x = 682,696.20 × 174,657.20
  4. Step 4: Simplify right side
    455,514.80x = 119,237,806,742.64
  5. Step 5: Solve for x
    x = 119,237,806,742.64/455,514.80
  6. Step 6: Final answer
    x = 261,764.95

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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.