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Finding the Fourth Proportional to 295,734, 408,123 and 161,606.64

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Solution

The fourth proportional to 295,734, 408,123 and 161,606.64 is: 223,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,734 : 408,123 = 161,606.64 : x
  2. Step 2: Convert to fraction form
    295,734/408,123 = 161,606.64/x
  3. Step 3: Cross multiply
    295,734x = 408,123 × 161,606.64
  4. Step 4: Simplify right side
    295,734x = 65,955,386,736.72
  5. Step 5: Solve for x
    x = 65,955,386,736.72/295,734
  6. Step 6: Final answer
    x = 223,022.67

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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.