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Finding the Fourth Proportional to 483,775.38, 725,724.90 and 159,454.80

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Solution

The fourth proportional to 483,775.38, 725,724.90 and 159,454.80 is: 239,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,775.38 : 725,724.90 = 159,454.80 : x
  2. Step 2: Convert to fraction form
    483,775.38/725,724.90 = 159,454.80/x
  3. Step 3: Cross multiply
    483,775.38x = 725,724.90 × 159,454.80
  4. Step 4: Simplify right side
    483,775.38x = 115,720,318,784.52
  5. Step 5: Solve for x
    x = 115,720,318,784.52/483,775.38
  6. Step 6: Final answer
    x = 239,202.58

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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.