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Finding the Fourth Proportional to 294,774.89, 406,738.64 and 165,695.45

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Solution

The fourth proportional to 294,774.89, 406,738.64 and 165,695.45 is: 228,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,774.89 : 406,738.64 = 165,695.45 : x
  2. Step 2: Convert to fraction form
    294,774.89/406,738.64 = 165,695.45/x
  3. Step 3: Cross multiply
    294,774.89x = 406,738.64 × 165,695.45
  4. Step 4: Simplify right side
    294,774.89x = 67,394,739,125.02
  5. Step 5: Solve for x
    x = 67,394,739,125.02/294,774.89
  6. Step 6: Final answer
    x = 228,631.21

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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.