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Finding the Fourth Proportional to 283,596.96, 425,491.76 and 178,292.64

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Solution

The fourth proportional to 283,596.96, 425,491.76 and 178,292.64 is: 267,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,596.96 : 425,491.76 = 178,292.64 : x
  2. Step 2: Convert to fraction form
    283,596.96/425,491.76 = 178,292.64/x
  3. Step 3: Cross multiply
    283,596.96x = 425,491.76 × 178,292.64
  4. Step 4: Simplify right side
    283,596.96x = 75,862,049,188.65
  5. Step 5: Solve for x
    x = 75,862,049,188.65/283,596.96
  6. Step 6: Final answer
    x = 267,499.51

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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.