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Finding the Fourth Proportional to 497,101.44, 686,047.68 and 306,226.56

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Solution

The fourth proportional to 497,101.44, 686,047.68 and 306,226.56 is: 422,622.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,101.44 : 686,047.68 = 306,226.56 : x
  2. Step 2: Convert to fraction form
    497,101.44/686,047.68 = 306,226.56/x
  3. Step 3: Cross multiply
    497,101.44x = 686,047.68 × 306,226.56
  4. Step 4: Simplify right side
    497,101.44x = 210,086,021,042.38
  5. Step 5: Solve for x
    x = 210,086,021,042.38/497,101.44
  6. Step 6: Final answer
    x = 422,622.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.