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Finding the Fourth Proportional to 294,791.55, 406,826.76 and 165,770.63

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Solution

The fourth proportional to 294,791.55, 406,826.76 and 165,770.63 is: 228,771.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,791.55 : 406,826.76 = 165,770.63 : x
  2. Step 2: Convert to fraction form
    294,791.55/406,826.76 = 165,770.63/x
  3. Step 3: Cross multiply
    294,791.55x = 406,826.76 × 165,770.63
  4. Step 4: Simplify right side
    294,791.55x = 67,439,930,707.57
  5. Step 5: Solve for x
    x = 67,439,930,707.57/294,791.55
  6. Step 6: Final answer
    x = 228,771.59

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1.5x scale

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.