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Finding the Fourth Proportional to 275,285.84, 412,649.88 and 186,548.32

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Solution

The fourth proportional to 275,285.84, 412,649.88 and 186,548.32 is: 279,633.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,285.84 : 412,649.88 = 186,548.32 : x
  2. Step 2: Convert to fraction form
    275,285.84/412,649.88 = 186,548.32/x
  3. Step 3: Cross multiply
    275,285.84x = 412,649.88 × 186,548.32
  4. Step 4: Simplify right side
    275,285.84x = 76,979,141,862.20
  5. Step 5: Solve for x
    x = 76,979,141,862.20/275,285.84
  6. Step 6: Final answer
    x = 279,633.50

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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.