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Finding the Fourth Proportional to 497,697.28, 746,855.52 and 202,209.28

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Solution

The fourth proportional to 497,697.28, 746,855.52 and 202,209.28 is: 303,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,697.28 : 746,855.52 = 202,209.28 : x
  2. Step 2: Convert to fraction form
    497,697.28/746,855.52 = 202,209.28/x
  3. Step 3: Cross multiply
    497,697.28x = 746,855.52 × 202,209.28
  4. Step 4: Simplify right side
    497,697.28x = 151,021,116,963.23
  5. Step 5: Solve for x
    x = 151,021,116,963.23/497,697.28
  6. Step 6: Final answer
    x = 303,439.71

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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.