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Finding the Fourth Proportional to 260,732.40, 391,390.20 and 201,829.20

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Solution

The fourth proportional to 260,732.40, 391,390.20 and 201,829.20 is: 302,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,732.40 : 391,390.20 = 201,829.20 : x
  2. Step 2: Convert to fraction form
    260,732.40/391,390.20 = 201,829.20/x
  3. Step 3: Cross multiply
    260,732.40x = 391,390.20 × 201,829.20
  4. Step 4: Simplify right side
    260,732.40x = 78,993,970,953.84
  5. Step 5: Solve for x
    x = 78,993,970,953.84/260,732.40
  6. Step 6: Final answer
    x = 302,969.52

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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.