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Finding the Fourth Proportional to 270,851.30, 406,276.95 and 203,929.10

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Solution

The fourth proportional to 270,851.30, 406,276.95 and 203,929.10 is: 305,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,851.30 : 406,276.95 = 203,929.10 : x
  2. Step 2: Convert to fraction form
    270,851.30/406,276.95 = 203,929.10/x
  3. Step 3: Cross multiply
    270,851.30x = 406,276.95 × 203,929.10
  4. Step 4: Simplify right side
    270,851.30x = 82,851,692,764.25
  5. Step 5: Solve for x
    x = 82,851,692,764.25/270,851.30
  6. Step 6: Final answer
    x = 305,893.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.