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Finding the Fourth Proportional to 397,273.80, 596,165.85 and 219,908.10

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Solution

The fourth proportional to 397,273.80, 596,165.85 and 219,908.10 is: 330,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,273.80 : 596,165.85 = 219,908.10 : x
  2. Step 2: Convert to fraction form
    397,273.80/596,165.85 = 219,908.10/x
  3. Step 3: Cross multiply
    397,273.80x = 596,165.85 × 219,908.10
  4. Step 4: Simplify right side
    397,273.80x = 131,101,699,358.39
  5. Step 5: Solve for x
    x = 131,101,699,358.39/397,273.80
  6. Step 6: Final answer
    x = 330,003.39

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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.