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Finding the Fourth Proportional to 395,421.68, 545,682.21 and 214,133.81

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Solution

The fourth proportional to 395,421.68, 545,682.21 and 214,133.81 is: 295,504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,421.68 : 545,682.21 = 214,133.81 : x
  2. Step 2: Convert to fraction form
    395,421.68/545,682.21 = 214,133.81/x
  3. Step 3: Cross multiply
    395,421.68x = 545,682.21 × 214,133.81
  4. Step 4: Simplify right side
    395,421.68x = 116,849,010,797.42
  5. Step 5: Solve for x
    x = 116,849,010,797.42/395,421.68
  6. Step 6: Final answer
    x = 295,504.81

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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.