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Finding the Fourth Proportional to 537,894.36, 806,608.26 and 182,813.04

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Solution

The fourth proportional to 537,894.36, 806,608.26 and 182,813.04 is: 274,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,894.36 : 806,608.26 = 182,813.04 : x
  2. Step 2: Convert to fraction form
    537,894.36/806,608.26 = 182,813.04/x
  3. Step 3: Cross multiply
    537,894.36x = 806,608.26 × 182,813.04
  4. Step 4: Simplify right side
    537,894.36x = 147,458,508,099.71
  5. Step 5: Solve for x
    x = 147,458,508,099.71/537,894.36
  6. Step 6: Final answer
    x = 274,140.28

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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.