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Finding the Fourth Proportional to 395,120.40, 545,265.12 and 213,832.68

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Solution

The fourth proportional to 395,120.40, 545,265.12 and 213,832.68 is: 295,088.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,120.40 : 545,265.12 = 213,832.68 : x
  2. Step 2: Convert to fraction form
    395,120.40/545,265.12 = 213,832.68/x
  3. Step 3: Cross multiply
    395,120.40x = 545,265.12 × 213,832.68
  4. Step 4: Simplify right side
    395,120.40x = 116,595,501,920.12
  5. Step 5: Solve for x
    x = 116,595,501,920.12/395,120.40
  6. Step 6: Final answer
    x = 295,088.54

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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.