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Finding the Fourth Proportional to 275,293.38, 412,890.87 and 175,156.12

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Solution

The fourth proportional to 275,293.38, 412,890.87 and 175,156.12 is: 262,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,293.38 : 412,890.87 = 175,156.12 : x
  2. Step 2: Convert to fraction form
    275,293.38/412,890.87 = 175,156.12/x
  3. Step 3: Cross multiply
    275,293.38x = 412,890.87 × 175,156.12
  4. Step 4: Simplify right side
    275,293.38x = 72,320,362,772.62
  5. Step 5: Solve for x
    x = 72,320,362,772.62/275,293.38
  6. Step 6: Final answer
    x = 262,702.88

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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.