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Finding the Fourth Proportional to 273,829.60, 410,744.40 and 76,837.60

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Solution

The fourth proportional to 273,829.60, 410,744.40 and 76,837.60 is: 115,256.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,829.60 : 410,744.40 = 76,837.60 : x
  2. Step 2: Convert to fraction form
    273,829.60/410,744.40 = 76,837.60/x
  3. Step 3: Cross multiply
    273,829.60x = 410,744.40 × 76,837.60
  4. Step 4: Simplify right side
    273,829.60x = 31,560,613,909.44
  5. Step 5: Solve for x
    x = 31,560,613,909.44/273,829.60
  6. Step 6: Final answer
    x = 115,256.40

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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.