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Finding the Fourth Proportional to 365,718.22, 504,733 and 204,614.08

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Solution

The fourth proportional to 365,718.22, 504,733 and 204,614.08 is: 282,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,718.22 : 504,733 = 204,614.08 : x
  2. Step 2: Convert to fraction form
    365,718.22/504,733 = 204,614.08/x
  3. Step 3: Cross multiply
    365,718.22x = 504,733 × 204,614.08
  4. Step 4: Simplify right side
    365,718.22x = 103,275,478,440.64
  5. Step 5: Solve for x
    x = 103,275,478,440.64/365,718.22
  6. Step 6: Final answer
    x = 282,390.85

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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.