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Finding the Fourth Proportional to 287,869.48, 397,261.74 and 167,083

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Solution

The fourth proportional to 287,869.48, 397,261.74 and 167,083 is: 230,575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,869.48 : 397,261.74 = 167,083 : x
  2. Step 2: Convert to fraction form
    287,869.48/397,261.74 = 167,083/x
  3. Step 3: Cross multiply
    287,869.48x = 397,261.74 × 167,083
  4. Step 4: Simplify right side
    287,869.48x = 66,375,683,304.42
  5. Step 5: Solve for x
    x = 66,375,683,304.42/287,869.48
  6. Step 6: Final answer
    x = 230,575.62

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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.