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Finding the Fourth Proportional to 383,800.84, 575,563.02 and 162,202.12

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Solution

The fourth proportional to 383,800.84, 575,563.02 and 162,202.12 is: 243,244.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,800.84 : 575,563.02 = 162,202.12 : x
  2. Step 2: Convert to fraction form
    383,800.84/575,563.02 = 162,202.12/x
  3. Step 3: Cross multiply
    383,800.84x = 575,563.02 × 162,202.12
  4. Step 4: Simplify right side
    383,800.84x = 93,357,542,037.60
  5. Step 5: Solve for x
    x = 93,357,542,037.60/383,800.84
  6. Step 6: Final answer
    x = 243,244.76

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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.