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Finding the Fourth Proportional to 256,302.30, 384,453.45 and 149,576.70

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Solution

The fourth proportional to 256,302.30, 384,453.45 and 149,576.70 is: 224,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,302.30 : 384,453.45 = 149,576.70 : x
  2. Step 2: Convert to fraction form
    256,302.30/384,453.45 = 149,576.70/x
  3. Step 3: Cross multiply
    256,302.30x = 384,453.45 × 149,576.70
  4. Step 4: Simplify right side
    256,302.30x = 57,505,278,354.62
  5. Step 5: Solve for x
    x = 57,505,278,354.62/256,302.30
  6. Step 6: Final answer
    x = 224,365.05

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1.5x scale

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.