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Finding the Fourth Proportional to 533,743.92, 800,421.72 and 178,673.52

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Solution

The fourth proportional to 533,743.92, 800,421.72 and 178,673.52 is: 267,945.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,743.92 : 800,421.72 = 178,673.52 : x
  2. Step 2: Convert to fraction form
    533,743.92/800,421.72 = 178,673.52/x
  3. Step 3: Cross multiply
    533,743.92x = 800,421.72 × 178,673.52
  4. Step 4: Simplify right side
    533,743.92x = 143,014,166,196.85
  5. Step 5: Solve for x
    x = 143,014,166,196.85/533,743.92
  6. Step 6: Final answer
    x = 267,945.28

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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.