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Finding the Fourth Proportional to 365,286.03, 503,768.32 and 229,332.64

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Solution

The fourth proportional to 365,286.03, 503,768.32 and 229,332.64 is: 316,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,286.03 : 503,768.32 = 229,332.64 : x
  2. Step 2: Convert to fraction form
    365,286.03/503,768.32 = 229,332.64/x
  3. Step 3: Cross multiply
    365,286.03x = 503,768.32 × 229,332.64
  4. Step 4: Simplify right side
    365,286.03x = 115,530,518,773.97
  5. Step 5: Solve for x
    x = 115,530,518,773.97/365,286.03
  6. Step 6: Final answer
    x = 316,274.12

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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.