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Finding the Fourth Proportional to 365,689.46, 504,698.19 and 204,553.46

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Solution

The fourth proportional to 365,689.46, 504,698.19 and 204,553.46 is: 282,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,689.46 : 504,698.19 = 204,553.46 : x
  2. Step 2: Convert to fraction form
    365,689.46/504,698.19 = 204,553.46/x
  3. Step 3: Cross multiply
    365,689.46x = 504,698.19 × 204,553.46
  4. Step 4: Simplify right side
    365,689.46x = 103,237,761,020.24
  5. Step 5: Solve for x
    x = 103,237,761,020.24/365,689.46
  6. Step 6: Final answer
    x = 282,309.92

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1.5x scale

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.