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Finding the Fourth Proportional to 497,792.76, 746,455.62 and 182,028.84

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Solution

The fourth proportional to 497,792.76, 746,455.62 and 182,028.84 is: 272,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,792.76 : 746,455.62 = 182,028.84 : x
  2. Step 2: Convert to fraction form
    497,792.76/746,455.62 = 182,028.84/x
  3. Step 3: Cross multiply
    497,792.76x = 746,455.62 × 182,028.84
  4. Step 4: Simplify right side
    497,792.76x = 135,876,450,620.08
  5. Step 5: Solve for x
    x = 135,876,450,620.08/497,792.76
  6. Step 6: Final answer
    x = 272,957.87

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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.