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Finding the Fourth Proportional to 431,766.32, 647,644.93 and 147,453.62

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Solution

The fourth proportional to 431,766.32, 647,644.93 and 147,453.62 is: 221,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,766.32 : 647,644.93 = 147,453.62 : x
  2. Step 2: Convert to fraction form
    431,766.32/647,644.93 = 147,453.62/x
  3. Step 3: Cross multiply
    431,766.32x = 647,644.93 × 147,453.62
  4. Step 4: Simplify right side
    431,766.32x = 95,497,590,653.62
  5. Step 5: Solve for x
    x = 95,497,590,653.62/431,766.32
  6. Step 6: Final answer
    x = 221,178.88

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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.