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Finding the Fourth Proportional to 294,435.56, 406,321.14 and 160,299.56

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Solution

The fourth proportional to 294,435.56, 406,321.14 and 160,299.56 is: 221,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,435.56 : 406,321.14 = 160,299.56 : x
  2. Step 2: Convert to fraction form
    294,435.56/406,321.14 = 160,299.56/x
  3. Step 3: Cross multiply
    294,435.56x = 406,321.14 × 160,299.56
  4. Step 4: Simplify right side
    294,435.56x = 65,133,099,960.70
  5. Step 5: Solve for x
    x = 65,133,099,960.70/294,435.56
  6. Step 6: Final answer
    x = 221,213.43

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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.