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Finding the Fourth Proportional to 395,121.40, 545,266.50 and 213,833.68

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Solution

The fourth proportional to 395,121.40, 545,266.50 and 213,833.68 is: 295,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,121.40 : 545,266.50 = 213,833.68 : x
  2. Step 2: Convert to fraction form
    395,121.40/545,266.50 = 213,833.68/x
  3. Step 3: Cross multiply
    395,121.40x = 545,266.50 × 213,833.68
  4. Step 4: Simplify right side
    395,121.40x = 116,596,342,275.72
  5. Step 5: Solve for x
    x = 116,596,342,275.72/395,121.40
  6. Step 6: Final answer
    x = 295,089.92

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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.