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Finding the Fourth Proportional to 501,046.52, 751,694.33 and 146,063.66

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Solution

The fourth proportional to 501,046.52, 751,694.33 and 146,063.66 is: 219,131.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,046.52 : 751,694.33 = 146,063.66 : x
  2. Step 2: Convert to fraction form
    501,046.52/751,694.33 = 146,063.66/x
  3. Step 3: Cross multiply
    501,046.52x = 751,694.33 × 146,063.66
  4. Step 4: Simplify right side
    501,046.52x = 109,795,221,647.74
  5. Step 5: Solve for x
    x = 109,795,221,647.74/501,046.52
  6. Step 6: Final answer
    x = 219,131.79

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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.