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Finding the Fourth Proportional to 364,980, 503,672.64 and 206,004

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Solution

The fourth proportional to 364,980, 503,672.64 and 206,004 is: 284,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,980 : 503,672.64 = 206,004 : x
  2. Step 2: Convert to fraction form
    364,980/503,672.64 = 206,004/x
  3. Step 3: Cross multiply
    364,980x = 503,672.64 × 206,004
  4. Step 4: Simplify right side
    364,980x = 103,758,578,530.56
  5. Step 5: Solve for x
    x = 103,758,578,530.56/364,980
  6. Step 6: Final answer
    x = 284,285.66

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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.