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Finding the Fourth Proportional to 365,802.67, 504,827.30 and 204,648.11

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Solution

The fourth proportional to 365,802.67, 504,827.30 and 204,648.11 is: 282,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,802.67 : 504,827.30 = 204,648.11 : x
  2. Step 2: Convert to fraction form
    365,802.67/504,827.30 = 204,648.11/x
  3. Step 3: Cross multiply
    365,802.67x = 504,827.30 × 204,648.11
  4. Step 4: Simplify right side
    365,802.67x = 103,311,949,274.03
  5. Step 5: Solve for x
    x = 103,311,949,274.03/365,802.67
  6. Step 6: Final answer
    x = 282,425.36

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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.