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Finding the Fourth Proportional to 365,201.51, 503,968.64 and 204,057.88

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Solution

The fourth proportional to 365,201.51, 503,968.64 and 204,057.88 is: 281,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,201.51 : 503,968.64 = 204,057.88 : x
  2. Step 2: Convert to fraction form
    365,201.51/503,968.64 = 204,057.88/x
  3. Step 3: Cross multiply
    365,201.51x = 503,968.64 × 204,057.88
  4. Step 4: Simplify right side
    365,201.51x = 102,838,772,819.50
  5. Step 5: Solve for x
    x = 102,838,772,819.50/365,201.51
  6. Step 6: Final answer
    x = 281,594.60

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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.