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Finding the Fourth Proportional to 537,175.46, 805,772.46 and 182,198.62

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Solution

The fourth proportional to 537,175.46, 805,772.46 and 182,198.62 is: 273,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,175.46 : 805,772.46 = 182,198.62 : x
  2. Step 2: Convert to fraction form
    537,175.46/805,772.46 = 182,198.62/x
  3. Step 3: Cross multiply
    537,175.46x = 805,772.46 × 182,198.62
  4. Step 4: Simplify right side
    537,175.46x = 146,810,630,246.01
  5. Step 5: Solve for x
    x = 146,810,630,246.01/537,175.46
  6. Step 6: Final answer
    x = 273,301.07

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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.