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Finding the Fourth Proportional to 543,152.80, 815,020.80 and 227,641.60

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Solution

The fourth proportional to 543,152.80, 815,020.80 and 227,641.60 is: 341,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,152.80 : 815,020.80 = 227,641.60 : x
  2. Step 2: Convert to fraction form
    543,152.80/815,020.80 = 227,641.60/x
  3. Step 3: Cross multiply
    543,152.80x = 815,020.80 × 227,641.60
  4. Step 4: Simplify right side
    543,152.80x = 185,532,638,945.28
  5. Step 5: Solve for x
    x = 185,532,638,945.28/543,152.80
  6. Step 6: Final answer
    x = 341,584.61

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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.