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Finding the Fourth Proportional to 543,925.95, 815,765.94 and 206,846.48

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Solution

The fourth proportional to 543,925.95, 815,765.94 and 206,846.48 is: 310,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,925.95 : 815,765.94 = 206,846.48 : x
  2. Step 2: Convert to fraction form
    543,925.95/815,765.94 = 206,846.48/x
  3. Step 3: Cross multiply
    543,925.95x = 815,765.94 × 206,846.48
  4. Step 4: Simplify right side
    543,925.95x = 168,738,309,114.06
  5. Step 5: Solve for x
    x = 168,738,309,114.06/543,925.95
  6. Step 6: Final answer
    x = 310,222.94

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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.