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Finding the Fourth Proportional to 256,283.26, 384,426.51 and 168,096.94

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Solution

The fourth proportional to 256,283.26, 384,426.51 and 168,096.94 is: 252,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,283.26 : 384,426.51 = 168,096.94 : x
  2. Step 2: Convert to fraction form
    256,283.26/384,426.51 = 168,096.94/x
  3. Step 3: Cross multiply
    256,283.26x = 384,426.51 × 168,096.94
  4. Step 4: Simplify right side
    256,283.26x = 64,620,919,985.88
  5. Step 5: Solve for x
    x = 64,620,919,985.88/256,283.26
  6. Step 6: Final answer
    x = 252,146.47

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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.