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Finding the Fourth Proportional to 537,901.94, 806,857.23 and 182,996.66

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Solution

The fourth proportional to 537,901.94, 806,857.23 and 182,996.66 is: 274,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,901.94 : 806,857.23 = 182,996.66 : x
  2. Step 2: Convert to fraction form
    537,901.94/806,857.23 = 182,996.66/x
  3. Step 3: Cross multiply
    537,901.94x = 806,857.23 × 182,996.66
  4. Step 4: Simplify right side
    537,901.94x = 147,652,178,186.85
  5. Step 5: Solve for x
    x = 147,652,178,186.85/537,901.94
  6. Step 6: Final answer
    x = 274,496.46

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Why These Related Problems?

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