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Finding the Fourth Proportional to 364,104.92, 502,481.82 and 202,961.12

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Solution

The fourth proportional to 364,104.92, 502,481.82 and 202,961.12 is: 280,095.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,104.92 : 502,481.82 = 202,961.12 : x
  2. Step 2: Convert to fraction form
    364,104.92/502,481.82 = 202,961.12/x
  3. Step 3: Cross multiply
    364,104.92x = 502,481.82 × 202,961.12
  4. Step 4: Simplify right side
    364,104.92x = 101,984,272,966.84
  5. Step 5: Solve for x
    x = 101,984,272,966.84/364,104.92
  6. Step 6: Final answer
    x = 280,095.84

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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.