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Finding the Fourth Proportional to 365,758.88, 504,748 and 204,616.62

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Solution

The fourth proportional to 365,758.88, 504,748 and 204,616.62 is: 282,371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,758.88 : 504,748 = 204,616.62 : x
  2. Step 2: Convert to fraction form
    365,758.88/504,748 = 204,616.62/x
  3. Step 3: Cross multiply
    365,758.88x = 504,748 × 204,616.62
  4. Step 4: Simplify right side
    365,758.88x = 103,279,829,711.76
  5. Step 5: Solve for x
    x = 103,279,829,711.76/365,758.88
  6. Step 6: Final answer
    x = 282,371.35

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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.