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Finding the Fourth Proportional to 365,702.04, 504,715.50 and 204,566.04

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Solution

The fourth proportional to 365,702.04, 504,715.50 and 204,566.04 is: 282,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,702.04 : 504,715.50 = 204,566.04 : x
  2. Step 2: Convert to fraction form
    365,702.04/504,715.50 = 204,566.04/x
  3. Step 3: Cross multiply
    365,702.04x = 504,715.50 × 204,566.04
  4. Step 4: Simplify right side
    365,702.04x = 103,247,651,161.62
  5. Step 5: Solve for x
    x = 103,247,651,161.62/365,702.04
  6. Step 6: Final answer
    x = 282,327.25

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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.