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Finding the Fourth Proportional to 497,578.56, 746,484.48 and 198,077.44

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Solution

The fourth proportional to 497,578.56, 746,484.48 and 198,077.44 is: 297,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,578.56 : 746,484.48 = 198,077.44 : x
  2. Step 2: Convert to fraction form
    497,578.56/746,484.48 = 198,077.44/x
  3. Step 3: Cross multiply
    497,578.56x = 746,484.48 × 198,077.44
  4. Step 4: Simplify right side
    497,578.56x = 147,861,734,798.13
  5. Step 5: Solve for x
    x = 147,861,734,798.13/497,578.56
  6. Step 6: Final answer
    x = 297,162.59

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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.