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Finding the Fourth Proportional to 513,946.70, 769,797.33 and 213,516.38

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Solution

The fourth proportional to 513,946.70, 769,797.33 and 213,516.38 is: 319,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,946.70 : 769,797.33 = 213,516.38 : x
  2. Step 2: Convert to fraction form
    513,946.70/769,797.33 = 213,516.38/x
  3. Step 3: Cross multiply
    513,946.70x = 769,797.33 × 213,516.38
  4. Step 4: Simplify right side
    513,946.70x = 164,364,339,235.27
  5. Step 5: Solve for x
    x = 164,364,339,235.27/513,946.70
  6. Step 6: Final answer
    x = 319,808.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.