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Finding the Fourth Proportional to 389,684, 537,763.92 and 210,836

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Solution

The fourth proportional to 389,684, 537,763.92 and 210,836 is: 290,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,684 : 537,763.92 = 210,836 : x
  2. Step 2: Convert to fraction form
    389,684/537,763.92 = 210,836/x
  3. Step 3: Cross multiply
    389,684x = 537,763.92 × 210,836
  4. Step 4: Simplify right side
    389,684x = 113,379,993,837.12
  5. Step 5: Solve for x
    x = 113,379,993,837.12/389,684
  6. Step 6: Final answer
    x = 290,953.68

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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.