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Finding the Fourth Proportional to 365,814.19, 504,843.20 and 204,659.61

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Solution

The fourth proportional to 365,814.19, 504,843.20 and 204,659.61 is: 282,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,814.19 : 504,843.20 = 204,659.61 : x
  2. Step 2: Convert to fraction form
    365,814.19/504,843.20 = 204,659.61/x
  3. Step 3: Cross multiply
    365,814.19x = 504,843.20 × 204,659.61
  4. Step 4: Simplify right side
    365,814.19x = 103,321,012,423.15
  5. Step 5: Solve for x
    x = 103,321,012,423.15/365,814.19
  6. Step 6: Final answer
    x = 282,441.24

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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.