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Finding the Fourth Proportional to 297,019.14, 445,425 and 119,480.10

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Solution

The fourth proportional to 297,019.14, 445,425 and 119,480.10 is: 179,178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,019.14 : 445,425 = 119,480.10 : x
  2. Step 2: Convert to fraction form
    297,019.14/445,425 = 119,480.10/x
  3. Step 3: Cross multiply
    297,019.14x = 445,425 × 119,480.10
  4. Step 4: Simplify right side
    297,019.14x = 53,219,423,542.50
  5. Step 5: Solve for x
    x = 53,219,423,542.50/297,019.14
  6. Step 6: Final answer
    x = 179,178.43

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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.