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Finding the Fourth Proportional to 365,242.02, 504,024.30 and 204,098.40

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Solution

The fourth proportional to 365,242.02, 504,024.30 and 204,098.40 is: 281,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,242.02 : 504,024.30 = 204,098.40 : x
  2. Step 2: Convert to fraction form
    365,242.02/504,024.30 = 204,098.40/x
  3. Step 3: Cross multiply
    365,242.02x = 504,024.30 × 204,098.40
  4. Step 4: Simplify right side
    365,242.02x = 102,870,553,191.12
  5. Step 5: Solve for x
    x = 102,870,553,191.12/365,242.02
  6. Step 6: Final answer
    x = 281,650.38

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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.