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Finding the Fourth Proportional to 364,728.72, 503,409.61 and 213,874.32

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Solution

The fourth proportional to 364,728.72, 503,409.61 and 213,874.32 is: 295,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,728.72 : 503,409.61 = 213,874.32 : x
  2. Step 2: Convert to fraction form
    364,728.72/503,409.61 = 213,874.32/x
  3. Step 3: Cross multiply
    364,728.72x = 503,409.61 × 213,874.32
  4. Step 4: Simplify right side
    364,728.72x = 107,666,385,503.17
  5. Step 5: Solve for x
    x = 107,666,385,503.17/364,728.72
  6. Step 6: Final answer
    x = 295,195.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.