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Finding the Fourth Proportional to 380,664.25, 525,333.87 and 210,898.39

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Solution

The fourth proportional to 380,664.25, 525,333.87 and 210,898.39 is: 291,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,664.25 : 525,333.87 = 210,898.39 : x
  2. Step 2: Convert to fraction form
    380,664.25/525,333.87 = 210,898.39/x
  3. Step 3: Cross multiply
    380,664.25x = 525,333.87 × 210,898.39
  4. Step 4: Simplify right side
    380,664.25x = 110,792,067,395.47
  5. Step 5: Solve for x
    x = 110,792,067,395.47/380,664.25
  6. Step 6: Final answer
    x = 291,049.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.