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Finding the Fourth Proportional to 365,883.20, 504,942.24 and 204,756.80

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Solution

The fourth proportional to 365,883.20, 504,942.24 and 204,756.80 is: 282,577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,883.20 : 504,942.24 = 204,756.80 : x
  2. Step 2: Convert to fraction form
    365,883.20/504,942.24 = 204,756.80/x
  3. Step 3: Cross multiply
    365,883.20x = 504,942.24 × 204,756.80
  4. Step 4: Simplify right side
    365,883.20x = 103,390,357,247.23
  5. Step 5: Solve for x
    x = 103,390,357,247.23/365,883.20
  6. Step 6: Final answer
    x = 282,577.49

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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.