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Finding the Fourth Proportional to 456,505.62, 684,997.18 and 186,833.94

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Solution

The fourth proportional to 456,505.62, 684,997.18 and 186,833.94 is: 280,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,505.62 : 684,997.18 = 186,833.94 : x
  2. Step 2: Convert to fraction form
    456,505.62/684,997.18 = 186,833.94/x
  3. Step 3: Cross multiply
    456,505.62x = 684,997.18 × 186,833.94
  4. Step 4: Simplify right side
    456,505.62x = 127,980,722,028.29
  5. Step 5: Solve for x
    x = 127,980,722,028.29/456,505.62
  6. Step 6: Final answer
    x = 280,348.62

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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.