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Finding the Fourth Proportional to 365,266.92, 504,389.04 and 229,536

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Solution

The fourth proportional to 365,266.92, 504,389.04 and 229,536 is: 316,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,266.92 : 504,389.04 = 229,536 : x
  2. Step 2: Convert to fraction form
    365,266.92/504,389.04 = 229,536/x
  3. Step 3: Cross multiply
    365,266.92x = 504,389.04 × 229,536
  4. Step 4: Simplify right side
    365,266.92x = 115,775,442,685.44
  5. Step 5: Solve for x
    x = 115,775,442,685.44/365,266.92
  6. Step 6: Final answer
    x = 316,961.20

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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.