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Finding the Fourth Proportional to 493,583, 740,374.60 and 178,039.88

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Solution

The fourth proportional to 493,583, 740,374.60 and 178,039.88 is: 267,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,583 : 740,374.60 = 178,039.88 : x
  2. Step 2: Convert to fraction form
    493,583/740,374.60 = 178,039.88/x
  3. Step 3: Cross multiply
    493,583x = 740,374.60 × 178,039.88
  4. Step 4: Simplify right side
    493,583x = 131,816,204,939.05
  5. Step 5: Solve for x
    x = 131,816,204,939.05/493,583
  6. Step 6: Final answer
    x = 267,059.86

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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.