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Finding the Fourth Proportional to 383,464.20, 575,145.90 and 117,251.40

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Solution

The fourth proportional to 383,464.20, 575,145.90 and 117,251.40 is: 175,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,464.20 : 575,145.90 = 117,251.40 : x
  2. Step 2: Convert to fraction form
    383,464.20/575,145.90 = 117,251.40/x
  3. Step 3: Cross multiply
    383,464.20x = 575,145.90 × 117,251.40
  4. Step 4: Simplify right side
    383,464.20x = 67,436,661,979.26
  5. Step 5: Solve for x
    x = 67,436,661,979.26/383,464.20
  6. Step 6: Final answer
    x = 175,861.69

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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.