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Finding the Fourth Proportional to 497,651.87, 746,477.80 and 123,674.87

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Solution

The fourth proportional to 497,651.87, 746,477.80 and 123,674.87 is: 185,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,651.87 : 746,477.80 = 123,674.87 : x
  2. Step 2: Convert to fraction form
    497,651.87/746,477.80 = 123,674.87/x
  3. Step 3: Cross multiply
    497,651.87x = 746,477.80 × 123,674.87
  4. Step 4: Simplify right side
    497,651.87x = 92,320,541,140.50
  5. Step 5: Solve for x
    x = 92,320,541,140.50/497,651.87
  6. Step 6: Final answer
    x = 185,512.30

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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.