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Finding the Fourth Proportional to 595,771.20, 822,182.40 and 341,107.20

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Solution

The fourth proportional to 595,771.20, 822,182.40 and 341,107.20 is: 470,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,771.20 : 822,182.40 = 341,107.20 : x
  2. Step 2: Convert to fraction form
    595,771.20/822,182.40 = 341,107.20/x
  3. Step 3: Cross multiply
    595,771.20x = 822,182.40 × 341,107.20
  4. Step 4: Simplify right side
    595,771.20x = 280,452,336,353.28
  5. Step 5: Solve for x
    x = 280,452,336,353.28/595,771.20
  6. Step 6: Final answer
    x = 470,738.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.