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Finding the Fourth Proportional to 543,825.38, 815,854.80 and 228,100.34

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Solution

The fourth proportional to 543,825.38, 815,854.80 and 228,100.34 is: 342,199.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,825.38 : 815,854.80 = 228,100.34 : x
  2. Step 2: Convert to fraction form
    543,825.38/815,854.80 = 228,100.34/x
  3. Step 3: Cross multiply
    543,825.38x = 815,854.80 × 228,100.34
  4. Step 4: Simplify right side
    543,825.38x = 186,096,757,270.63
  5. Step 5: Solve for x
    x = 186,096,757,270.63/543,825.38
  6. Step 6: Final answer
    x = 342,199.47

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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.