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Finding the Fourth Proportional to 537,886.44, 806,836.14 and 182,907.72

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Solution

The fourth proportional to 537,886.44, 806,836.14 and 182,907.72 is: 274,363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,886.44 : 806,836.14 = 182,907.72 : x
  2. Step 2: Convert to fraction form
    537,886.44/806,836.14 = 182,907.72/x
  3. Step 3: Cross multiply
    537,886.44x = 806,836.14 × 182,907.72
  4. Step 4: Simplify right side
    537,886.44x = 147,576,558,781.00
  5. Step 5: Solve for x
    x = 147,576,558,781.00/537,886.44
  6. Step 6: Final answer
    x = 274,363.78

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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.