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Finding the Fourth Proportional to 294,717, 406,709.46 and 160,581

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Solution

The fourth proportional to 294,717, 406,709.46 and 160,581 is: 221,601.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,717 : 406,709.46 = 160,581 : x
  2. Step 2: Convert to fraction form
    294,717/406,709.46 = 160,581/x
  3. Step 3: Cross multiply
    294,717x = 406,709.46 × 160,581
  4. Step 4: Simplify right side
    294,717x = 65,309,811,796.26
  5. Step 5: Solve for x
    x = 65,309,811,796.26/294,717
  6. Step 6: Final answer
    x = 221,601.78

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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.