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Finding the Fourth Proportional to 543,649.80, 815,474.70 and 401,932.20

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Solution

The fourth proportional to 543,649.80, 815,474.70 and 401,932.20 is: 602,898.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,649.80 : 815,474.70 = 401,932.20 : x
  2. Step 2: Convert to fraction form
    543,649.80/815,474.70 = 401,932.20/x
  3. Step 3: Cross multiply
    543,649.80x = 815,474.70 × 401,932.20
  4. Step 4: Simplify right side
    543,649.80x = 327,765,540,215.34
  5. Step 5: Solve for x
    x = 327,765,540,215.34/543,649.80
  6. Step 6: Final answer
    x = 602,898.30

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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.