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Finding the Fourth Proportional to 365,807.92, 504,834.51 and 204,653.29

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Solution

The fourth proportional to 365,807.92, 504,834.51 and 204,653.29 is: 282,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,807.92 : 504,834.51 = 204,653.29 : x
  2. Step 2: Convert to fraction form
    365,807.92/504,834.51 = 204,653.29/x
  3. Step 3: Cross multiply
    365,807.92x = 504,834.51 × 204,653.29
  4. Step 4: Simplify right side
    365,807.92x = 103,316,043,377.04
  5. Step 5: Solve for x
    x = 103,316,043,377.04/365,807.92
  6. Step 6: Final answer
    x = 282,432.49

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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.