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Finding the Fourth Proportional to 431,683.32, 647,369.46 and 182,384.76

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Solution

The fourth proportional to 431,683.32, 647,369.46 and 182,384.76 is: 273,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,683.32 : 647,369.46 = 182,384.76 : x
  2. Step 2: Convert to fraction form
    431,683.32/647,369.46 = 182,384.76/x
  3. Step 3: Cross multiply
    431,683.32x = 647,369.46 × 182,384.76
  4. Step 4: Simplify right side
    431,683.32x = 118,070,323,593.43
  5. Step 5: Solve for x
    x = 118,070,323,593.43/431,683.32
  6. Step 6: Final answer
    x = 273,511.43

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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.