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Finding the Fourth Proportional to 497,570.56, 746,472.48 and 198,069.44

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Solution

The fourth proportional to 497,570.56, 746,472.48 and 198,069.44 is: 297,150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,570.56 : 746,472.48 = 198,069.44 : x
  2. Step 2: Convert to fraction form
    497,570.56/746,472.48 = 198,069.44/x
  3. Step 3: Cross multiply
    497,570.56x = 746,472.48 × 198,069.44
  4. Step 4: Simplify right side
    497,570.56x = 147,853,386,089.01
  5. Step 5: Solve for x
    x = 147,853,386,089.01/497,570.56
  6. Step 6: Final answer
    x = 297,150.59

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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.