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Finding the Fourth Proportional to 364,801.50, 503,416.26 and 203,652

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Solution

The fourth proportional to 364,801.50, 503,416.26 and 203,652 is: 281,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,801.50 : 503,416.26 = 203,652 : x
  2. Step 2: Convert to fraction form
    364,801.50/503,416.26 = 203,652/x
  3. Step 3: Cross multiply
    364,801.50x = 503,416.26 × 203,652
  4. Step 4: Simplify right side
    364,801.50x = 102,521,728,181.52
  5. Step 5: Solve for x
    x = 102,521,728,181.52/364,801.50
  6. Step 6: Final answer
    x = 281,034.28

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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.