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Finding the Fourth Proportional to 389,786.50, 537,905.64 and 210,938.50

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Solution

The fourth proportional to 389,786.50, 537,905.64 and 210,938.50 is: 291,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,786.50 : 537,905.64 = 210,938.50 : x
  2. Step 2: Convert to fraction form
    389,786.50/537,905.64 = 210,938.50/x
  3. Step 3: Cross multiply
    389,786.50x = 537,905.64 × 210,938.50
  4. Step 4: Simplify right side
    389,786.50x = 113,465,008,843.14
  5. Step 5: Solve for x
    x = 113,465,008,843.14/389,786.50
  6. Step 6: Final answer
    x = 291,095.28

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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.