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Finding the Fourth Proportional to 383,798.84, 575,560.02 and 162,200.12

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Solution

The fourth proportional to 383,798.84, 575,560.02 and 162,200.12 is: 243,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,798.84 : 575,560.02 = 162,200.12 : x
  2. Step 2: Convert to fraction form
    383,798.84/575,560.02 = 162,200.12/x
  3. Step 3: Cross multiply
    383,798.84x = 575,560.02 × 162,200.12
  4. Step 4: Simplify right side
    383,798.84x = 93,355,904,311.20
  5. Step 5: Solve for x
    x = 93,355,904,311.20/383,798.84
  6. Step 6: Final answer
    x = 243,241.76

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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.