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Finding the Fourth Proportional to 301,633.64, 416,259.44 and 165,680.15

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Solution

The fourth proportional to 301,633.64, 416,259.44 and 165,680.15 is: 228,641.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,633.64 : 416,259.44 = 165,680.15 : x
  2. Step 2: Convert to fraction form
    301,633.64/416,259.44 = 165,680.15/x
  3. Step 3: Cross multiply
    301,633.64x = 416,259.44 × 165,680.15
  4. Step 4: Simplify right side
    301,633.64x = 68,965,926,511.18
  5. Step 5: Solve for x
    x = 68,965,926,511.18/301,633.64
  6. Step 6: Final answer
    x = 228,641.36

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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.