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Finding the Fourth Proportional to 301,698.80, 416,350.94 and 165,734.64

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Solution

The fourth proportional to 301,698.80, 416,350.94 and 165,734.64 is: 228,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,698.80 : 416,350.94 = 165,734.64 : x
  2. Step 2: Convert to fraction form
    301,698.80/416,350.94 = 165,734.64/x
  3. Step 3: Cross multiply
    301,698.80x = 416,350.94 × 165,734.64
  4. Step 4: Simplify right side
    301,698.80x = 69,003,773,154.56
  5. Step 5: Solve for x
    x = 69,003,773,154.56/301,698.80
  6. Step 6: Final answer
    x = 228,717.43

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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.