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Finding the Fourth Proportional to 484,081.17, 725,998.42 and 343,249.30

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Solution

The fourth proportional to 484,081.17, 725,998.42 and 343,249.30 is: 514,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,081.17 : 725,998.42 = 343,249.30 : x
  2. Step 2: Convert to fraction form
    484,081.17/725,998.42 = 343,249.30/x
  3. Step 3: Cross multiply
    484,081.17x = 725,998.42 × 343,249.30
  4. Step 4: Simplify right side
    484,081.17x = 249,198,449,466.11
  5. Step 5: Solve for x
    x = 249,198,449,466.11/484,081.17
  6. Step 6: Final answer
    x = 514,786.50

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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.