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Finding the Fourth Proportional to 497,338.80, 746,124.84 and 197,836.44

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Solution

The fourth proportional to 497,338.80, 746,124.84 and 197,836.44 is: 296,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,338.80 : 746,124.84 = 197,836.44 : x
  2. Step 2: Convert to fraction form
    497,338.80/746,124.84 = 197,836.44/x
  3. Step 3: Cross multiply
    497,338.80x = 746,124.84 × 197,836.44
  4. Step 4: Simplify right side
    497,338.80x = 147,610,682,141.17
  5. Step 5: Solve for x
    x = 147,610,682,141.17/497,338.80
  6. Step 6: Final answer
    x = 296,801.06

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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.