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Finding the Fourth Proportional to 365,980.26, 505,023.58 and 204,827.52

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Solution

The fourth proportional to 365,980.26, 505,023.58 and 204,827.52 is: 282,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,980.26 : 505,023.58 = 204,827.52 : x
  2. Step 2: Convert to fraction form
    365,980.26/505,023.58 = 204,827.52/x
  3. Step 3: Cross multiply
    365,980.26x = 505,023.58 × 204,827.52
  4. Step 4: Simplify right side
    365,980.26x = 103,442,727,432.92
  5. Step 5: Solve for x
    x = 103,442,727,432.92/365,980.26
  6. Step 6: Final answer
    x = 282,645.65

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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.