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Finding the Fourth Proportional to 365,182.08, 503,904.96 and 214,224

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Solution

The fourth proportional to 365,182.08, 503,904.96 and 214,224 is: 295,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,182.08 : 503,904.96 = 214,224 : x
  2. Step 2: Convert to fraction form
    365,182.08/503,904.96 = 214,224/x
  3. Step 3: Cross multiply
    365,182.08x = 503,904.96 × 214,224
  4. Step 4: Simplify right side
    365,182.08x = 107,948,536,151.04
  5. Step 5: Solve for x
    x = 107,948,536,151.04/365,182.08
  6. Step 6: Final answer
    x = 295,601.95

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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.