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Finding the Fourth Proportional to 365,658.21, 504,609.48 and 204,516

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Solution

The fourth proportional to 365,658.21, 504,609.48 and 204,516 is: 282,232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,658.21 : 504,609.48 = 204,516 : x
  2. Step 2: Convert to fraction form
    365,658.21/504,609.48 = 204,516/x
  3. Step 3: Cross multiply
    365,658.21x = 504,609.48 × 204,516
  4. Step 4: Simplify right side
    365,658.21x = 103,200,712,411.68
  5. Step 5: Solve for x
    x = 103,200,712,411.68/365,658.21
  6. Step 6: Final answer
    x = 282,232.72

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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.