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Finding the Fourth Proportional to 449,817.82, 674,844.90 and 161,658.56

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Solution

The fourth proportional to 449,817.82, 674,844.90 and 161,658.56 is: 242,530.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,817.82 : 674,844.90 = 161,658.56 : x
  2. Step 2: Convert to fraction form
    449,817.82/674,844.90 = 161,658.56/x
  3. Step 3: Cross multiply
    449,817.82x = 674,844.90 × 161,658.56
  4. Step 4: Simplify right side
    449,817.82x = 109,094,453,307.57
  5. Step 5: Solve for x
    x = 109,094,453,307.57/449,817.82
  6. Step 6: Final answer
    x = 242,530.31

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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.