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Finding the Fourth Proportional to 501,301.68, 751,942.80 and 122,223.84

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Solution

The fourth proportional to 501,301.68, 751,942.80 and 122,223.84 is: 183,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,301.68 : 751,942.80 = 122,223.84 : x
  2. Step 2: Convert to fraction form
    501,301.68/751,942.80 = 122,223.84/x
  3. Step 3: Cross multiply
    501,301.68x = 751,942.80 × 122,223.84
  4. Step 4: Simplify right side
    501,301.68x = 91,905,336,476.35
  5. Step 5: Solve for x
    x = 91,905,336,476.35/501,301.68
  6. Step 6: Final answer
    x = 183,333.39

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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.