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Finding the Fourth Proportional to 471,821.60, 708,423.60 and 332,199.20

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Solution

The fourth proportional to 471,821.60, 708,423.60 and 332,199.20 is: 498,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,821.60 : 708,423.60 = 332,199.20 : x
  2. Step 2: Convert to fraction form
    471,821.60/708,423.60 = 332,199.20/x
  3. Step 3: Cross multiply
    471,821.60x = 708,423.60 × 332,199.20
  4. Step 4: Simplify right side
    471,821.60x = 235,337,753,181.12
  5. Step 5: Solve for x
    x = 235,337,753,181.12/471,821.60
  6. Step 6: Final answer
    x = 498,785.46

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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.