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Finding the Fourth Proportional to 497,375.42, 746,145.80 and 197,858.88

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Solution

The fourth proportional to 497,375.42, 746,145.80 and 197,858.88 is: 296,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,375.42 : 746,145.80 = 197,858.88 : x
  2. Step 2: Convert to fraction form
    497,375.42/746,145.80 = 197,858.88/x
  3. Step 3: Cross multiply
    497,375.42x = 746,145.80 × 197,858.88
  4. Step 4: Simplify right side
    497,375.42x = 147,631,571,315.41
  5. Step 5: Solve for x
    x = 147,631,571,315.41/497,375.42
  6. Step 6: Final answer
    x = 296,821.21

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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.