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Finding the Fourth Proportional to 358,286.44, 537,522 and 257,201.68

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Solution

The fourth proportional to 358,286.44, 537,522 and 257,201.68 is: 385,868.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,286.44 : 537,522 = 257,201.68 : x
  2. Step 2: Convert to fraction form
    358,286.44/537,522 = 257,201.68/x
  3. Step 3: Cross multiply
    358,286.44x = 537,522 × 257,201.68
  4. Step 4: Simplify right side
    358,286.44x = 138,251,561,436.96
  5. Step 5: Solve for x
    x = 138,251,561,436.96/358,286.44
  6. Step 6: Final answer
    x = 385,868.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.