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Finding the Fourth Proportional to 286,765.20, 430,234.20 and 203,821.20

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Solution

The fourth proportional to 286,765.20, 430,234.20 and 203,821.20 is: 305,793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,765.20 : 430,234.20 = 203,821.20 : x
  2. Step 2: Convert to fraction form
    286,765.20/430,234.20 = 203,821.20/x
  3. Step 3: Cross multiply
    286,765.20x = 430,234.20 × 203,821.20
  4. Step 4: Simplify right side
    286,765.20x = 87,690,850,925.04
  5. Step 5: Solve for x
    x = 87,690,850,925.04/286,765.20
  6. Step 6: Final answer
    x = 305,793.21

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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.