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Finding the Fourth Proportional to 380,449.41, 525,020.33 and 210,683.53

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Solution

The fourth proportional to 380,449.41, 525,020.33 and 210,683.53 is: 290,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,449.41 : 525,020.33 = 210,683.53 : x
  2. Step 2: Convert to fraction form
    380,449.41/525,020.33 = 210,683.53/x
  3. Step 3: Cross multiply
    380,449.41x = 525,020.33 × 210,683.53
  4. Step 4: Simplify right side
    380,449.41x = 110,613,137,629.15
  5. Step 5: Solve for x
    x = 110,613,137,629.15/380,449.41
  6. Step 6: Final answer
    x = 290,743.36

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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.