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Finding the Fourth Proportional to 537,901.44, 806,856.48 and 182,996.16

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Solution

The fourth proportional to 537,901.44, 806,856.48 and 182,996.16 is: 274,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,901.44 : 806,856.48 = 182,996.16 : x
  2. Step 2: Convert to fraction form
    537,901.44/806,856.48 = 182,996.16/x
  3. Step 3: Cross multiply
    537,901.44x = 806,856.48 × 182,996.16
  4. Step 4: Simplify right side
    537,901.44x = 147,651,637,511.12
  5. Step 5: Solve for x
    x = 147,651,637,511.12/537,901.44
  6. Step 6: Final answer
    x = 274,495.71

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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.