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Finding the Fourth Proportional to 365,722.74, 504,719.70 and 204,588.66

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Solution

The fourth proportional to 365,722.74, 504,719.70 and 204,588.66 is: 282,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,722.74 : 504,719.70 = 204,588.66 : x
  2. Step 2: Convert to fraction form
    365,722.74/504,719.70 = 204,588.66/x
  3. Step 3: Cross multiply
    365,722.74x = 504,719.70 × 204,588.66
  4. Step 4: Simplify right side
    365,722.74x = 103,259,927,098.60
  5. Step 5: Solve for x
    x = 103,259,927,098.60/365,722.74
  6. Step 6: Final answer
    x = 282,344.84

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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.