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Finding the Fourth Proportional to 301,765.44, 416,434.60 and 163,943.20

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Solution

The fourth proportional to 301,765.44, 416,434.60 and 163,943.20 is: 226,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,765.44 : 416,434.60 = 163,943.20 : x
  2. Step 2: Convert to fraction form
    301,765.44/416,434.60 = 163,943.20/x
  3. Step 3: Cross multiply
    301,765.44x = 416,434.60 × 163,943.20
  4. Step 4: Simplify right side
    301,765.44x = 68,271,620,914.72
  5. Step 5: Solve for x
    x = 68,271,620,914.72/301,765.44
  6. Step 6: Final answer
    x = 226,240.69

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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.