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Finding the Fourth Proportional to 301,633.27, 416,258.80 and 165,679.63

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Solution

The fourth proportional to 301,633.27, 416,258.80 and 165,679.63 is: 228,640.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,633.27 : 416,258.80 = 165,679.63 : x
  2. Step 2: Convert to fraction form
    301,633.27/416,258.80 = 165,679.63/x
  3. Step 3: Cross multiply
    301,633.27x = 416,258.80 × 165,679.63
  4. Step 4: Simplify right side
    301,633.27x = 68,965,602,513.40
  5. Step 5: Solve for x
    x = 68,965,602,513.40/301,633.27
  6. Step 6: Final answer
    x = 228,640.57

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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.