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Finding the Fourth Proportional to 493,821.26, 740,732.84 and 190,358.32

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Solution

The fourth proportional to 493,821.26, 740,732.84 and 190,358.32 is: 285,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,821.26 : 740,732.84 = 190,358.32 : x
  2. Step 2: Convert to fraction form
    493,821.26/740,732.84 = 190,358.32/x
  3. Step 3: Cross multiply
    493,821.26x = 740,732.84 × 190,358.32
  4. Step 4: Simplify right side
    493,821.26x = 141,004,655,939.32
  5. Step 5: Solve for x
    x = 141,004,655,939.32/493,821.26
  6. Step 6: Final answer
    x = 285,537.84

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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.