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Finding the Fourth Proportional to 256,606.58, 385,017.54 and 114,353.88

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Solution

The fourth proportional to 256,606.58, 385,017.54 and 114,353.88 is: 171,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,606.58 : 385,017.54 = 114,353.88 : x
  2. Step 2: Convert to fraction form
    256,606.58/385,017.54 = 114,353.88/x
  3. Step 3: Cross multiply
    256,606.58x = 385,017.54 × 114,353.88
  4. Step 4: Simplify right side
    256,606.58x = 44,028,247,694.41
  5. Step 5: Solve for x
    x = 44,028,247,694.41/256,606.58
  6. Step 6: Final answer
    x = 171,578.79

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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.