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Finding the Fourth Proportional to 356,378.15, 491,801.82 and 213,138.19

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Solution

The fourth proportional to 356,378.15, 491,801.82 and 213,138.19 is: 294,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,378.15 : 491,801.82 = 213,138.19 : x
  2. Step 2: Convert to fraction form
    356,378.15/491,801.82 = 213,138.19/x
  3. Step 3: Cross multiply
    356,378.15x = 491,801.82 × 213,138.19
  4. Step 4: Simplify right side
    356,378.15x = 104,821,749,753.51
  5. Step 5: Solve for x
    x = 104,821,749,753.51/356,378.15
  6. Step 6: Final answer
    x = 294,130.69

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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.