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Finding the Fourth Proportional to 380,439.09, 525,021.75 and 210,673.22

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Solution

The fourth proportional to 380,439.09, 525,021.75 and 210,673.22 is: 290,737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,439.09 : 525,021.75 = 210,673.22 : x
  2. Step 2: Convert to fraction form
    380,439.09/525,021.75 = 210,673.22/x
  3. Step 3: Cross multiply
    380,439.09x = 525,021.75 × 210,673.22
  4. Step 4: Simplify right side
    380,439.09x = 110,608,020,017.43
  5. Step 5: Solve for x
    x = 110,608,020,017.43/380,439.09
  6. Step 6: Final answer
    x = 290,737.79

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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.