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Finding the Fourth Proportional to 307,525.44, 460,885.61 and 165,204.38

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Solution

The fourth proportional to 307,525.44, 460,885.61 and 165,204.38 is: 247,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,525.44 : 460,885.61 = 165,204.38 : x
  2. Step 2: Convert to fraction form
    307,525.44/460,885.61 = 165,204.38/x
  3. Step 3: Cross multiply
    307,525.44x = 460,885.61 × 165,204.38
  4. Step 4: Simplify right side
    307,525.44x = 76,140,318,320.52
  5. Step 5: Solve for x
    x = 76,140,318,320.52/307,525.44
  6. Step 6: Final answer
    x = 247,590.31

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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.