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Finding the Fourth Proportional to 413,473.33, 619,816.27 and 132,793.75

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Solution

The fourth proportional to 413,473.33, 619,816.27 and 132,793.75 is: 199,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,473.33 : 619,816.27 = 132,793.75 : x
  2. Step 2: Convert to fraction form
    413,473.33/619,816.27 = 132,793.75/x
  3. Step 3: Cross multiply
    413,473.33x = 619,816.27 × 132,793.75
  4. Step 4: Simplify right side
    413,473.33x = 82,307,726,804.31
  5. Step 5: Solve for x
    x = 82,307,726,804.31/413,473.33
  6. Step 6: Final answer
    x = 199,064.17

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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.