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Finding the Fourth Proportional to 297,029.50, 445,309.14 and 107,460.34

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Solution

The fourth proportional to 297,029.50, 445,309.14 and 107,460.34 is: 161,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,029.50 : 445,309.14 = 107,460.34 : x
  2. Step 2: Convert to fraction form
    297,029.50/445,309.14 = 107,460.34/x
  3. Step 3: Cross multiply
    297,029.50x = 445,309.14 × 107,460.34
  4. Step 4: Simplify right side
    297,029.50x = 47,853,071,589.51
  5. Step 5: Solve for x
    x = 47,853,071,589.51/297,029.50
  6. Step 6: Final answer
    x = 161,105.45

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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.