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Finding the Fourth Proportional to 365,296.10, 504,326.61 and 229,446.32

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Solution

The fourth proportional to 365,296.10, 504,326.61 and 229,446.32 is: 316,772.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,296.10 : 504,326.61 = 229,446.32 : x
  2. Step 2: Convert to fraction form
    365,296.10/504,326.61 = 229,446.32/x
  3. Step 3: Cross multiply
    365,296.10x = 504,326.61 × 229,446.32
  4. Step 4: Simplify right side
    365,296.10x = 115,715,882,220.94
  5. Step 5: Solve for x
    x = 115,715,882,220.94/365,296.10
  6. Step 6: Final answer
    x = 316,772.84

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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.