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Finding the Fourth Proportional to 497,846.80, 746,332.80 and 298,246.60

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Solution

The fourth proportional to 497,846.80, 746,332.80 and 298,246.60 is: 447,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,846.80 : 746,332.80 = 298,246.60 : x
  2. Step 2: Convert to fraction form
    497,846.80/746,332.80 = 298,246.60/x
  3. Step 3: Cross multiply
    497,846.80x = 746,332.80 × 298,246.60
  4. Step 4: Simplify right side
    497,846.80x = 222,591,220,068.48
  5. Step 5: Solve for x
    x = 222,591,220,068.48/497,846.80
  6. Step 6: Final answer
    x = 447,107.87

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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.