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Finding the Fourth Proportional to 454,707, 682,158.78 and 174,224.52

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Solution

The fourth proportional to 454,707, 682,158.78 and 174,224.52 is: 261,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,707 : 682,158.78 = 174,224.52 : x
  2. Step 2: Convert to fraction form
    454,707/682,158.78 = 174,224.52/x
  3. Step 3: Cross multiply
    454,707x = 682,158.78 × 174,224.52
  4. Step 4: Simplify right side
    454,707x = 118,848,786,009.29
  5. Step 5: Solve for x
    x = 118,848,786,009.29/454,707
  6. Step 6: Final answer
    x = 261,374.44

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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.