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Finding the Fourth Proportional to 228,823.20, 342,457.20 and 200,829.60

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Solution

The fourth proportional to 228,823.20, 342,457.20 and 200,829.60 is: 300,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,823.20 : 342,457.20 = 200,829.60 : x
  2. Step 2: Convert to fraction form
    228,823.20/342,457.20 = 200,829.60/x
  3. Step 3: Cross multiply
    228,823.20x = 342,457.20 × 200,829.60
  4. Step 4: Simplify right side
    228,823.20x = 68,775,542,493.12
  5. Step 5: Solve for x
    x = 68,775,542,493.12/228,823.20
  6. Step 6: Final answer
    x = 300,561.93

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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.