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Finding the Fourth Proportional to 273,457.76, 410,008.64 and 113,489.64

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Solution

The fourth proportional to 273,457.76, 410,008.64 and 113,489.64 is: 170,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,457.76 : 410,008.64 = 113,489.64 : x
  2. Step 2: Convert to fraction form
    273,457.76/410,008.64 = 113,489.64/x
  3. Step 3: Cross multiply
    273,457.76x = 410,008.64 × 113,489.64
  4. Step 4: Simplify right side
    273,457.76x = 46,531,732,383.04
  5. Step 5: Solve for x
    x = 46,531,732,383.04/273,457.76
  6. Step 6: Final answer
    x = 170,160.59

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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.