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Finding the Fourth Proportional to 365,747.33, 504,711.01 and 204,571.24

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Solution

The fourth proportional to 365,747.33, 504,711.01 and 204,571.24 is: 282,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,747.33 : 504,711.01 = 204,571.24 : x
  2. Step 2: Convert to fraction form
    365,747.33/504,711.01 = 204,571.24/x
  3. Step 3: Cross multiply
    365,747.33x = 504,711.01 × 204,571.24
  4. Step 4: Simplify right side
    365,747.33x = 103,249,357,157.35
  5. Step 5: Solve for x
    x = 103,249,357,157.35/365,747.33
  6. Step 6: Final answer
    x = 282,296.95

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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.