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Finding the Fourth Proportional to 269,771.40, 404,657.10 and 258,253.20

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Solution

The fourth proportional to 269,771.40, 404,657.10 and 258,253.20 is: 387,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,771.40 : 404,657.10 = 258,253.20 : x
  2. Step 2: Convert to fraction form
    269,771.40/404,657.10 = 258,253.20/x
  3. Step 3: Cross multiply
    269,771.40x = 404,657.10 × 258,253.20
  4. Step 4: Simplify right side
    269,771.40x = 104,503,990,977.72
  5. Step 5: Solve for x
    x = 104,503,990,977.72/269,771.40
  6. Step 6: Final answer
    x = 387,379.80

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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.