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Finding the Fourth Proportional to 537,907.86, 806,628.51 and 182,826.54

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Solution

The fourth proportional to 537,907.86, 806,628.51 and 182,826.54 is: 274,160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,907.86 : 806,628.51 = 182,826.54 : x
  2. Step 2: Convert to fraction form
    537,907.86/806,628.51 = 182,826.54/x
  3. Step 3: Cross multiply
    537,907.86x = 806,628.51 × 182,826.54
  4. Step 4: Simplify right side
    537,907.86x = 147,473,099,548.66
  5. Step 5: Solve for x
    x = 147,473,099,548.66/537,907.86
  6. Step 6: Final answer
    x = 274,160.52

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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.