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Finding the Fourth Proportional to 278,573.56, 384,421.02 and 151,246.44

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Solution

The fourth proportional to 278,573.56, 384,421.02 and 151,246.44 is: 208,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,573.56 : 384,421.02 = 151,246.44 : x
  2. Step 2: Convert to fraction form
    278,573.56/384,421.02 = 151,246.44/x
  3. Step 3: Cross multiply
    278,573.56x = 384,421.02 × 151,246.44
  4. Step 4: Simplify right side
    278,573.56x = 58,142,310,736.17
  5. Step 5: Solve for x
    x = 58,142,310,736.17/278,573.56
  6. Step 6: Final answer
    x = 208,714.39

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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.