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Finding the Fourth Proportional to 493,721.41, 740,138.64 and 178,104.52

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Solution

The fourth proportional to 493,721.41, 740,138.64 and 178,104.52 is: 266,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,721.41 : 740,138.64 = 178,104.52 : x
  2. Step 2: Convert to fraction form
    493,721.41/740,138.64 = 178,104.52/x
  3. Step 3: Cross multiply
    493,721.41x = 740,138.64 × 178,104.52
  4. Step 4: Simplify right side
    493,721.41x = 131,822,037,210.65
  5. Step 5: Solve for x
    x = 131,822,037,210.65/493,721.41
  6. Step 6: Final answer
    x = 266,996.80

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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.