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Finding the Fourth Proportional to 336,514.56, 464,372.64 and 209,187.96

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Solution

The fourth proportional to 336,514.56, 464,372.64 and 209,187.96 is: 288,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,514.56 : 464,372.64 = 209,187.96 : x
  2. Step 2: Convert to fraction form
    336,514.56/464,372.64 = 209,187.96/x
  3. Step 3: Cross multiply
    336,514.56x = 464,372.64 × 209,187.96
  4. Step 4: Simplify right side
    336,514.56x = 97,141,165,241.41
  5. Step 5: Solve for x
    x = 97,141,165,241.41/336,514.56
  6. Step 6: Final answer
    x = 288,668.54

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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.