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Finding the Fourth Proportional to 454,262.31, 680,593.74 and 404,782.77

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Solution

The fourth proportional to 454,262.31, 680,593.74 and 404,782.77 is: 606,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,262.31 : 680,593.74 = 404,782.77 : x
  2. Step 2: Convert to fraction form
    454,262.31/680,593.74 = 404,782.77/x
  3. Step 3: Cross multiply
    454,262.31x = 680,593.74 × 404,782.77
  4. Step 4: Simplify right side
    454,262.31x = 275,492,619,321.86
  5. Step 5: Solve for x
    x = 275,492,619,321.86/454,262.31
  6. Step 6: Final answer
    x = 606,461.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.