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Finding the Fourth Proportional to 469,764.76, 704,622.03 and 166,137.88

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Solution

The fourth proportional to 469,764.76, 704,622.03 and 166,137.88 is: 249,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,764.76 : 704,622.03 = 166,137.88 : x
  2. Step 2: Convert to fraction form
    469,764.76/704,622.03 = 166,137.88/x
  3. Step 3: Cross multiply
    469,764.76x = 704,622.03 × 166,137.88
  4. Step 4: Simplify right side
    469,764.76x = 117,064,410,265.50
  5. Step 5: Solve for x
    x = 117,064,410,265.50/469,764.76
  6. Step 6: Final answer
    x = 249,197.94

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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.