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Finding the Fourth Proportional to 364,729.32, 503,351.82 and 203,616

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Solution

The fourth proportional to 364,729.32, 503,351.82 and 203,616 is: 281,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,729.32 : 503,351.82 = 203,616 : x
  2. Step 2: Convert to fraction form
    364,729.32/503,351.82 = 203,616/x
  3. Step 3: Cross multiply
    364,729.32x = 503,351.82 × 203,616
  4. Step 4: Simplify right side
    364,729.32x = 102,490,484,181.12
  5. Step 5: Solve for x
    x = 102,490,484,181.12/364,729.32
  6. Step 6: Final answer
    x = 281,004.24

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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.