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Finding the Fourth Proportional to 355,912.96, 533,617.44 and 178,293.28

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Solution

The fourth proportional to 355,912.96, 533,617.44 and 178,293.28 is: 267,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,912.96 : 533,617.44 = 178,293.28 : x
  2. Step 2: Convert to fraction form
    355,912.96/533,617.44 = 178,293.28/x
  3. Step 3: Cross multiply
    355,912.96x = 533,617.44 × 178,293.28
  4. Step 4: Simplify right side
    355,912.96x = 95,140,403,642.80
  5. Step 5: Solve for x
    x = 95,140,403,642.80/355,912.96
  6. Step 6: Final answer
    x = 267,313.68

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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.