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Finding the Fourth Proportional to 256,523.40, 384,785.10 and 185,664.60

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Solution

The fourth proportional to 256,523.40, 384,785.10 and 185,664.60 is: 278,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,523.40 : 384,785.10 = 185,664.60 : x
  2. Step 2: Convert to fraction form
    256,523.40/384,785.10 = 185,664.60/x
  3. Step 3: Cross multiply
    256,523.40x = 384,785.10 × 185,664.60
  4. Step 4: Simplify right side
    256,523.40x = 71,440,971,677.46
  5. Step 5: Solve for x
    x = 71,440,971,677.46/256,523.40
  6. Step 6: Final answer
    x = 278,496.90

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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.