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Finding the Fourth Proportional to 256,541.20, 384,034.20 and 193,814.80

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Solution

The fourth proportional to 256,541.20, 384,034.20 and 193,814.80 is: 290,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,541.20 : 384,034.20 = 193,814.80 : x
  2. Step 2: Convert to fraction form
    256,541.20/384,034.20 = 193,814.80/x
  3. Step 3: Cross multiply
    256,541.20x = 384,034.20 × 193,814.80
  4. Step 4: Simplify right side
    256,541.20x = 74,431,511,666.16
  5. Step 5: Solve for x
    x = 74,431,511,666.16/256,541.20
  6. Step 6: Final answer
    x = 290,134.73

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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.