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Finding the Fourth Proportional to 301,697.80, 416,349.56 and 165,733.64

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Solution

The fourth proportional to 301,697.80, 416,349.56 and 165,733.64 is: 228,716.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,697.80 : 416,349.56 = 165,733.64 : x
  2. Step 2: Convert to fraction form
    301,697.80/416,349.56 = 165,733.64/x
  3. Step 3: Cross multiply
    301,697.80x = 416,349.56 × 165,733.64
  4. Step 4: Simplify right side
    301,697.80x = 69,003,128,091.20
  5. Step 5: Solve for x
    x = 69,003,128,091.20/301,697.80
  6. Step 6: Final answer
    x = 228,716.05

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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.