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Finding the Fourth Proportional to 301,601.75, 416,210.92 and 165,644.46

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Solution

The fourth proportional to 301,601.75, 416,210.92 and 165,644.46 is: 228,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,601.75 : 416,210.92 = 165,644.46 : x
  2. Step 2: Convert to fraction form
    301,601.75/416,210.92 = 165,644.46/x
  3. Step 3: Cross multiply
    301,601.75x = 416,210.92 × 165,644.46
  4. Step 4: Simplify right side
    301,601.75x = 68,943,032,675.39
  5. Step 5: Solve for x
    x = 68,943,032,675.39/301,601.75
  6. Step 6: Final answer
    x = 228,589.63

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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.