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Finding the Fourth Proportional to 380,616.62, 525,268.01 and 210,839.81

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Solution

The fourth proportional to 380,616.62, 525,268.01 and 210,839.81 is: 290,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,616.62 : 525,268.01 = 210,839.81 : x
  2. Step 2: Convert to fraction form
    380,616.62/525,268.01 = 210,839.81/x
  3. Step 3: Cross multiply
    380,616.62x = 525,268.01 × 210,839.81
  4. Step 4: Simplify right side
    380,616.62x = 110,747,405,328.24
  5. Step 5: Solve for x
    x = 110,747,405,328.24/380,616.62
  6. Step 6: Final answer
    x = 290,968.39

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Why These Related Problems?

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