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Finding the Fourth Proportional to 417,588.40, 626,380.17 and 151,286.73

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Solution

The fourth proportional to 417,588.40, 626,380.17 and 151,286.73 is: 226,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,588.40 : 626,380.17 = 151,286.73 : x
  2. Step 2: Convert to fraction form
    417,588.40/626,380.17 = 151,286.73/x
  3. Step 3: Cross multiply
    417,588.40x = 626,380.17 × 151,286.73
  4. Step 4: Simplify right side
    417,588.40x = 94,763,007,656.14
  5. Step 5: Solve for x
    x = 94,763,007,656.14/417,588.40
  6. Step 6: Final answer
    x = 226,929.21

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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.