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Finding the Fourth Proportional to 512,534.40, 768,801.60 and 228,224.40

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Solution

The fourth proportional to 512,534.40, 768,801.60 and 228,224.40 is: 342,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,534.40 : 768,801.60 = 228,224.40 : x
  2. Step 2: Convert to fraction form
    512,534.40/768,801.60 = 228,224.40/x
  3. Step 3: Cross multiply
    512,534.40x = 768,801.60 × 228,224.40
  4. Step 4: Simplify right side
    512,534.40x = 175,459,283,879.04
  5. Step 5: Solve for x
    x = 175,459,283,879.04/512,534.40
  6. Step 6: Final answer
    x = 342,336.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.