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Finding the Fourth Proportional to 309,057.81, 462,997.94 and 176,029.89

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Solution

The fourth proportional to 309,057.81, 462,997.94 and 176,029.89 is: 263,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,057.81 : 462,997.94 = 176,029.89 : x
  2. Step 2: Convert to fraction form
    309,057.81/462,997.94 = 176,029.89/x
  3. Step 3: Cross multiply
    309,057.81x = 462,997.94 × 176,029.89
  4. Step 4: Simplify right side
    309,057.81x = 81,501,475,568.28
  5. Step 5: Solve for x
    x = 81,501,475,568.28/309,057.81
  6. Step 6: Final answer
    x = 263,709.48

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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.