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Finding the Fourth Proportional to 365,287.24, 504,094.71 and 204,142.20

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Solution

The fourth proportional to 365,287.24, 504,094.71 and 204,142.20 is: 281,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,287.24 : 504,094.71 = 204,142.20 : x
  2. Step 2: Convert to fraction form
    365,287.24/504,094.71 = 204,142.20/x
  3. Step 3: Cross multiply
    365,287.24x = 504,094.71 × 204,142.20
  4. Step 4: Simplify right side
    365,287.24x = 102,907,003,107.76
  5. Step 5: Solve for x
    x = 102,907,003,107.76/365,287.24
  6. Step 6: Final answer
    x = 281,715.30

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1.5x scale

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.