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Finding the Fourth Proportional to 450,324.47, 675,568.55 and 213,664.95

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Solution

The fourth proportional to 450,324.47, 675,568.55 and 213,664.95 is: 320,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,324.47 : 675,568.55 = 213,664.95 : x
  2. Step 2: Convert to fraction form
    450,324.47/675,568.55 = 213,664.95/x
  3. Step 3: Cross multiply
    450,324.47x = 675,568.55 × 213,664.95
  4. Step 4: Simplify right side
    450,324.47x = 144,345,320,991.49
  5. Step 5: Solve for x
    x = 144,345,320,991.49/450,324.47
  6. Step 6: Final answer
    x = 320,536.26

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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.