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Finding the Fourth Proportional to 301,783.27, 416,458.92 and 165,818.70

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Solution

The fourth proportional to 301,783.27, 416,458.92 and 165,818.70 is: 228,828.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,783.27 : 416,458.92 = 165,818.70 : x
  2. Step 2: Convert to fraction form
    301,783.27/416,458.92 = 165,818.70/x
  3. Step 3: Cross multiply
    301,783.27x = 416,458.92 × 165,818.70
  4. Step 4: Simplify right side
    301,783.27x = 69,056,676,717.80
  5. Step 5: Solve for x
    x = 69,056,676,717.80/301,783.27
  6. Step 6: Final answer
    x = 228,828.71

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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.