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Finding the Fourth Proportional to 455,142, 682,745.82 and 174,659.25

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Solution

The fourth proportional to 455,142, 682,745.82 and 174,659.25 is: 262,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,142 : 682,745.82 = 174,659.25 : x
  2. Step 2: Convert to fraction form
    455,142/682,745.82 = 174,659.25/x
  3. Step 3: Cross multiply
    455,142x = 682,745.82 × 174,659.25
  4. Step 4: Simplify right side
    455,142x = 119,247,872,861.84
  5. Step 5: Solve for x
    x = 119,247,872,861.84/455,142
  6. Step 6: Final answer
    x = 262,001.47

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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.