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Finding the Fourth Proportional to 427,654.56, 641,695.68 and 191,166.96

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Solution

The fourth proportional to 427,654.56, 641,695.68 and 191,166.96 is: 286,846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,654.56 : 641,695.68 = 191,166.96 : x
  2. Step 2: Convert to fraction form
    427,654.56/641,695.68 = 191,166.96/x
  3. Step 3: Cross multiply
    427,654.56x = 641,695.68 × 191,166.96
  4. Step 4: Simplify right side
    427,654.56x = 122,671,012,390.73
  5. Step 5: Solve for x
    x = 122,671,012,390.73/427,654.56
  6. Step 6: Final answer
    x = 286,846.03

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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.