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Finding the Fourth Proportional to 537,524.46, 806,411.52 and 182,538.90

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Solution

The fourth proportional to 537,524.46, 806,411.52 and 182,538.90 is: 273,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,524.46 : 806,411.52 = 182,538.90 : x
  2. Step 2: Convert to fraction form
    537,524.46/806,411.52 = 182,538.90/x
  3. Step 3: Cross multiply
    537,524.46x = 806,411.52 × 182,538.90
  4. Step 4: Simplify right side
    537,524.46x = 147,201,471,808.13
  5. Step 5: Solve for x
    x = 147,201,471,808.13/537,524.46
  6. Step 6: Final answer
    x = 273,850.74

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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.