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Finding the Fourth Proportional to 256,588.56, 384,837.48 and 69,614.64

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Solution

The fourth proportional to 256,588.56, 384,837.48 and 69,614.64 is: 104,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,588.56 : 384,837.48 = 69,614.64 : x
  2. Step 2: Convert to fraction form
    256,588.56/384,837.48 = 69,614.64/x
  3. Step 3: Cross multiply
    256,588.56x = 384,837.48 × 69,614.64
  4. Step 4: Simplify right side
    256,588.56x = 26,790,322,628.71
  5. Step 5: Solve for x
    x = 26,790,322,628.71/256,588.56
  6. Step 6: Final answer
    x = 104,409.65

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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.