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Finding the Fourth Proportional to 654,951.16, 903,832.45 and 364,556.46

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Solution

The fourth proportional to 654,951.16, 903,832.45 and 364,556.46 is: 503,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,951.16 : 903,832.45 = 364,556.46 : x
  2. Step 2: Convert to fraction form
    654,951.16/903,832.45 = 364,556.46/x
  3. Step 3: Cross multiply
    654,951.16x = 903,832.45 × 364,556.46
  4. Step 4: Simplify right side
    654,951.16x = 329,497,958,405.13
  5. Step 5: Solve for x
    x = 329,497,958,405.13/654,951.16
  6. Step 6: Final answer
    x = 503,087.83

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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.