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Finding the Fourth Proportional to 476,441.98, 714,511.23 and 156,519.59

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Solution

The fourth proportional to 476,441.98, 714,511.23 and 156,519.59 is: 234,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,441.98 : 714,511.23 = 156,519.59 : x
  2. Step 2: Convert to fraction form
    476,441.98/714,511.23 = 156,519.59/x
  3. Step 3: Cross multiply
    476,441.98x = 714,511.23 × 156,519.59
  4. Step 4: Simplify right side
    476,441.98x = 111,835,004,770.00
  5. Step 5: Solve for x
    x = 111,835,004,770.00/476,441.98
  6. Step 6: Final answer
    x = 234,729.54

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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.