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Finding the Fourth Proportional to 454,833.76, 682,407.90 and 155,524.96

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Solution

The fourth proportional to 454,833.76, 682,407.90 and 155,524.96 is: 233,341.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,833.76 : 682,407.90 = 155,524.96 : x
  2. Step 2: Convert to fraction form
    454,833.76/682,407.90 = 155,524.96/x
  3. Step 3: Cross multiply
    454,833.76x = 682,407.90 × 155,524.96
  4. Step 4: Simplify right side
    454,833.76x = 106,131,461,351.18
  5. Step 5: Solve for x
    x = 106,131,461,351.18/454,833.76
  6. Step 6: Final answer
    x = 233,341.21

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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.