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Finding the Fourth Proportional to 416,576.12, 574,873.91 and 225,589.46

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Solution

The fourth proportional to 416,576.12, 574,873.91 and 225,589.46 is: 311,312.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,576.12 : 574,873.91 = 225,589.46 : x
  2. Step 2: Convert to fraction form
    416,576.12/574,873.91 = 225,589.46/x
  3. Step 3: Cross multiply
    416,576.12x = 574,873.91 × 225,589.46
  4. Step 4: Simplify right side
    416,576.12x = 129,685,491,768.63
  5. Step 5: Solve for x
    x = 129,685,491,768.63/416,576.12
  6. Step 6: Final answer
    x = 311,312.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.