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Finding the Fourth Proportional to 497,596.40, 746,511.60 and 198,093.92

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Solution

The fourth proportional to 497,596.40, 746,511.60 and 198,093.92 is: 297,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,596.40 : 746,511.60 = 198,093.92 : x
  2. Step 2: Convert to fraction form
    497,596.40/746,511.60 = 198,093.92/x
  3. Step 3: Cross multiply
    497,596.40x = 746,511.60 × 198,093.92
  4. Step 4: Simplify right side
    497,596.40x = 147,879,409,169.47
  5. Step 5: Solve for x
    x = 147,879,409,169.47/497,596.40
  6. Step 6: Final answer
    x = 297,187.46

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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.