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Finding the Fourth Proportional to 336,564.40, 504,232.20 and 205,082.80

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Solution

The fourth proportional to 336,564.40, 504,232.20 and 205,082.80 is: 307,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,564.40 : 504,232.20 = 205,082.80 : x
  2. Step 2: Convert to fraction form
    336,564.40/504,232.20 = 205,082.80/x
  3. Step 3: Cross multiply
    336,564.40x = 504,232.20 × 205,082.80
  4. Step 4: Simplify right side
    336,564.40x = 103,409,351,426.16
  5. Step 5: Solve for x
    x = 103,409,351,426.16/336,564.40
  6. Step 6: Final answer
    x = 307,249.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.