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Finding the Fourth Proportional to 501,824, 752,994.12 and 333,460.64

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Solution

The fourth proportional to 501,824, 752,994.12 and 333,460.64 is: 500,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,824 : 752,994.12 = 333,460.64 : x
  2. Step 2: Convert to fraction form
    501,824/752,994.12 = 333,460.64/x
  3. Step 3: Cross multiply
    501,824x = 752,994.12 × 333,460.64
  4. Step 4: Simplify right side
    501,824x = 251,093,901,171.44
  5. Step 5: Solve for x
    x = 251,093,901,171.44/501,824
  6. Step 6: Final answer
    x = 500,362.48

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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.