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Finding the Fourth Proportional to 501,166.86, 751,673.88 and 164,242.50

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Solution

The fourth proportional to 501,166.86, 751,673.88 and 164,242.50 is: 246,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,166.86 : 751,673.88 = 164,242.50 : x
  2. Step 2: Convert to fraction form
    501,166.86/751,673.88 = 164,242.50/x
  3. Step 3: Cross multiply
    501,166.86x = 751,673.88 × 164,242.50
  4. Step 4: Simplify right side
    501,166.86x = 123,456,797,235.90
  5. Step 5: Solve for x
    x = 123,456,797,235.90/501,166.86
  6. Step 6: Final answer
    x = 246,338.71

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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.