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Finding the Fourth Proportional to 491,006.88, 736,511.04 and 149,453.28

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Solution

The fourth proportional to 491,006.88, 736,511.04 and 149,453.28 is: 224,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,006.88 : 736,511.04 = 149,453.28 : x
  2. Step 2: Convert to fraction form
    491,006.88/736,511.04 = 149,453.28/x
  3. Step 3: Cross multiply
    491,006.88x = 736,511.04 × 149,453.28
  4. Step 4: Simplify right side
    491,006.88x = 110,073,990,684.21
  5. Step 5: Solve for x
    x = 110,073,990,684.21/491,006.88
  6. Step 6: Final answer
    x = 224,180.14

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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.