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Finding the Fourth Proportional to 491,464.26, 737,196.72 and 136,478.34

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Solution

The fourth proportional to 491,464.26, 737,196.72 and 136,478.34 is: 204,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,464.26 : 737,196.72 = 136,478.34 : x
  2. Step 2: Convert to fraction form
    491,464.26/737,196.72 = 136,478.34/x
  3. Step 3: Cross multiply
    491,464.26x = 737,196.72 × 136,478.34
  4. Step 4: Simplify right side
    491,464.26x = 100,611,384,599.05
  5. Step 5: Solve for x
    x = 100,611,384,599.05/491,464.26
  6. Step 6: Final answer
    x = 204,717.60

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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.