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Finding the Fourth Proportional to 454,926.40, 682,324.80 and 155,420.80

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Solution

The fourth proportional to 454,926.40, 682,324.80 and 155,420.80 is: 233,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,926.40 : 682,324.80 = 155,420.80 : x
  2. Step 2: Convert to fraction form
    454,926.40/682,324.80 = 155,420.80/x
  3. Step 3: Cross multiply
    454,926.40x = 682,324.80 × 155,420.80
  4. Step 4: Simplify right side
    454,926.40x = 106,047,466,275.84
  5. Step 5: Solve for x
    x = 106,047,466,275.84/454,926.40
  6. Step 6: Final answer
    x = 233,109.06

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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.