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Finding the Fourth Proportional to 336,062.72, 502,909.44 and 209,762.26

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Solution

The fourth proportional to 336,062.72, 502,909.44 and 209,762.26 is: 313,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,062.72 : 502,909.44 = 209,762.26 : x
  2. Step 2: Convert to fraction form
    336,062.72/502,909.44 = 209,762.26/x
  3. Step 3: Cross multiply
    336,062.72x = 502,909.44 × 209,762.26
  4. Step 4: Simplify right side
    336,062.72x = 105,491,420,709.73
  5. Step 5: Solve for x
    x = 105,491,420,709.73/336,062.72
  6. Step 6: Final answer
    x = 313,903.97

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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.