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Finding the Fourth Proportional to 497,568.60, 746,450.10 and 197,998.20

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Solution

The fourth proportional to 497,568.60, 746,450.10 and 197,998.20 is: 297,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,568.60 : 746,450.10 = 197,998.20 : x
  2. Step 2: Convert to fraction form
    497,568.60/746,450.10 = 197,998.20/x
  3. Step 3: Cross multiply
    497,568.60x = 746,450.10 × 197,998.20
  4. Step 4: Simplify right side
    497,568.60x = 147,795,776,189.82
  5. Step 5: Solve for x
    x = 147,795,776,189.82/497,568.60
  6. Step 6: Final answer
    x = 297,035.98

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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.