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Finding the Fourth Proportional to 301,692.64, 416,338.58 and 165,729.35

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Solution

The fourth proportional to 301,692.64, 416,338.58 and 165,729.35 is: 228,708.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,692.64 : 416,338.58 = 165,729.35 : x
  2. Step 2: Convert to fraction form
    301,692.64/416,338.58 = 165,729.35/x
  3. Step 3: Cross multiply
    301,692.64x = 416,338.58 × 165,729.35
  4. Step 4: Simplify right side
    301,692.64x = 68,999,522,243.32
  5. Step 5: Solve for x
    x = 68,999,522,243.32/301,692.64
  6. Step 6: Final answer
    x = 228,708.01

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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.