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Finding the Fourth Proportional to 416,492.10, 574,758.36 and 225,505.44

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Solution

The fourth proportional to 416,492.10, 574,758.36 and 225,505.44 is: 311,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,492.10 : 574,758.36 = 225,505.44 : x
  2. Step 2: Convert to fraction form
    416,492.10/574,758.36 = 225,505.44/x
  3. Step 3: Cross multiply
    416,492.10x = 574,758.36 × 225,505.44
  4. Step 4: Simplify right side
    416,492.10x = 129,611,136,865.48
  5. Step 5: Solve for x
    x = 129,611,136,865.48/416,492.10
  6. Step 6: Final answer
    x = 311,197.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.