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Finding the Fourth Proportional to 365,756.34, 504,753.84 and 204,639.24

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Solution

The fourth proportional to 365,756.34, 504,753.84 and 204,639.24 is: 282,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,756.34 : 504,753.84 = 204,639.24 : x
  2. Step 2: Convert to fraction form
    365,756.34/504,753.84 = 204,639.24/x
  3. Step 3: Cross multiply
    365,756.34x = 504,753.84 × 204,639.24
  4. Step 4: Simplify right side
    365,756.34x = 103,292,442,204.68
  5. Step 5: Solve for x
    x = 103,292,442,204.68/365,756.34
  6. Step 6: Final answer
    x = 282,407.80

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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.