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Finding the Fourth Proportional to 294,309.21, 406,154.49 and 165,257.98

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Solution

The fourth proportional to 294,309.21, 406,154.49 and 165,257.98 is: 228,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,309.21 : 406,154.49 = 165,257.98 : x
  2. Step 2: Convert to fraction form
    294,309.21/406,154.49 = 165,257.98/x
  3. Step 3: Cross multiply
    294,309.21x = 406,154.49 × 165,257.98
  4. Step 4: Simplify right side
    294,309.21x = 67,120,271,234.85
  5. Step 5: Solve for x
    x = 67,120,271,234.85/294,309.21
  6. Step 6: Final answer
    x = 228,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.