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Finding the Fourth Proportional to 287,832.86, 397,318.77 and 216,420.26

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Solution

The fourth proportional to 287,832.86, 397,318.77 and 216,420.26 is: 298,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,832.86 : 397,318.77 = 216,420.26 : x
  2. Step 2: Convert to fraction form
    287,832.86/397,318.77 = 216,420.26/x
  3. Step 3: Cross multiply
    287,832.86x = 397,318.77 × 216,420.26
  4. Step 4: Simplify right side
    287,832.86x = 85,987,831,506.28
  5. Step 5: Solve for x
    x = 85,987,831,506.28/287,832.86
  6. Step 6: Final answer
    x = 298,742.23

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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.