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Finding the Fourth Proportional to 301,729.46, 416,384.92 and 165,760.48

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Solution

The fourth proportional to 301,729.46, 416,384.92 and 165,760.48 is: 228,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,729.46 : 416,384.92 = 165,760.48 : x
  2. Step 2: Convert to fraction form
    301,729.46/416,384.92 = 165,760.48/x
  3. Step 3: Cross multiply
    301,729.46x = 416,384.92 × 165,760.48
  4. Step 4: Simplify right side
    301,729.46x = 69,020,162,939.13
  5. Step 5: Solve for x
    x = 69,020,162,939.13/301,729.46
  6. Step 6: Final answer
    x = 228,748.51

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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.