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Finding the Fourth Proportional to 501,289.36, 751,978.37 and 141,463.37

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Solution

The fourth proportional to 501,289.36, 751,978.37 and 141,463.37 is: 212,207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,289.36 : 751,978.37 = 141,463.37 : x
  2. Step 2: Convert to fraction form
    501,289.36/751,978.37 = 141,463.37/x
  3. Step 3: Cross multiply
    501,289.36x = 751,978.37 × 141,463.37
  4. Step 4: Simplify right side
    501,289.36x = 106,377,396,620.91
  5. Step 5: Solve for x
    x = 106,377,396,620.91/501,289.36
  6. Step 6: Final answer
    x = 212,207.57

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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.