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Finding the Fourth Proportional to 294,790.28, 406,760.76 and 165,711.57

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Solution

The fourth proportional to 294,790.28, 406,760.76 and 165,711.57 is: 228,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,790.28 : 406,760.76 = 165,711.57 : x
  2. Step 2: Convert to fraction form
    294,790.28/406,760.76 = 165,711.57/x
  3. Step 3: Cross multiply
    294,790.28x = 406,760.76 × 165,711.57
  4. Step 4: Simplify right side
    294,790.28x = 67,404,964,153.99
  5. Step 5: Solve for x
    x = 67,404,964,153.99/294,790.28
  6. Step 6: Final answer
    x = 228,653.96

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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.