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Finding the Fourth Proportional to 501,084.31, 751,546.43 and 146,015.45

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Solution

The fourth proportional to 501,084.31, 751,546.43 and 146,015.45 is: 218,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,084.31 : 751,546.43 = 146,015.45 : x
  2. Step 2: Convert to fraction form
    501,084.31/751,546.43 = 146,015.45/x
  3. Step 3: Cross multiply
    501,084.31x = 751,546.43 × 146,015.45
  4. Step 4: Simplify right side
    501,084.31x = 109,737,390,172.34
  5. Step 5: Solve for x
    x = 109,737,390,172.34/501,084.31
  6. Step 6: Final answer
    x = 218,999.85

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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.